λ
Sigma Notebook

9,248,440

23 × 5 × 19 × 43 × 283
Abundant Even Composite

9,248,440 is even and not a perfect square. Its factorization is 2^3 × 5 × 19 × 43 × 283 and its 64 divisors sum to 22,492,800.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 43 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,492,800
Proper Divisor Sum 13,244,360
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9248431 ← → #9248467

Radix Representation

Decimal 9248440
Binary 100011010001111010111000 (24 bits)
Octal 0o43217270
Hexadecimal 0x8D1EB8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 283 344 380 430 566 760 817 860 1,132 1,415 1,634 1,720 2,264 2,830 3,268 4,085 5,377 5,660 6,536 8,170 10,754 11,320 12,169 16,340 21,508 24,338 26,885 32,680 43,016 48,676 53,770 60,845 97,352 107,540 121,690 215,080 231,211 243,380 462,422 486,760 924,844 1,156,055

Collatz Trajectory (132 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,248,440 4,624,220 2,312,110 1,156,055 3,468,166 1,734,083 5,202,250 2,601,125 7,803,376 3,901,688 1,950,844 975,422 487,711 1,463,134 731,567 2,194,702 1,097,351 3,292,054 1,646,027 4,938,082 2,469,041 7,407,124 3,703,562 1,851,781 5,555,344 2,777,672 1,388,836 694,418 347,209 1,041,628 520,814 260,407 781,222 390,611 1,171,834 585,917 1,757,752 878,876 439,438 219,719 659,158 329,579 988,738 494,369 1,483,108 741,554 370,777 1,112,332 556,166 278,083 834,250 417,125 1,251,376 625,688 312,844 156,422 78,211 234,634 117,317 351,952

More profiles

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