λ
Sigma Notebook

5,527,400

23 × 52 × 29 × 953
Abundant Even Composite

5,527,400 is even and not a perfect square. Its factorization is 2^3 × 5^2 × 29 × 953 and its 48 divisors sum to 13,308,300.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 29 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,308,300
Proper Divisor Sum 7,780,900
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5527399 ← → #5527411

Radix Representation

Decimal 5527400
Binary 10101000101011101101000 (23 bits)
Octal 0o25053550
Hexadecimal 0x545768

Divisor Catalog (48)

1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 953 1,160 1,450 1,906 2,900 3,812 4,765 5,800 7,624 9,530 19,060 23,825 27,637 38,120 47,650 55,274 95,300 110,548 138,185 190,600 221,096 276,370 552,740 690,925 1,105,480 1,381,850 2,763,700 5,527,400

Collatz Trajectory (139 steps to reach 1)

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

5,527,400 2,763,700 1,381,850 690,925 2,072,776 1,036,388 518,194 259,097 777,292 388,646 194,323 582,970 291,485 874,456 437,228 218,614 109,307 327,922 163,961 491,884 245,942 122,971 368,914 184,457 553,372 276,686 138,343 415,030 207,515 622,546 311,273 933,820 466,910 233,455 700,366 350,183 1,050,550 525,275 1,575,826 787,913 2,363,740 1,181,870 590,935 1,772,806 886,403 2,659,210 1,329,605 3,988,816 1,994,408 997,204 498,602 249,301 747,904 373,952 186,976 93,488 46,744 23,372 11,686 5,843

More profiles

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