λ
Sigma Notebook

2,915,712

27 × 32 × 2531
Abundant Even Composite

2,915,712 is even and not a perfect square. Its factorization is 2^7 × 3^2 × 2531 and its 48 divisors sum to 8,393,580.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 2531
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,393,580
Proper Divisor Sum 5,477,868
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2915699 ← → #2915713

Radix Representation

Decimal 2915712
Binary 1011000111110110000000 (22 bits)
Octal 0o13076600
Hexadecimal 0x2C7D80

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1,152 2,531 5,062 7,593 10,124 15,186 20,248 22,779 30,372 40,496 45,558 60,744 80,992 91,116 121,488 161,984 182,232 242,976 323,968 364,464 485,952 728,928 971,904 1,457,856 2,915,712

Collatz Trajectory (244 steps to reach 1)

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

2,915,712 1,457,856 728,928 364,464 182,232 91,116 45,558 22,779 68,338 34,169 102,508 51,254 25,627 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467 1,108,402 554,201 1,662,604 831,302 415,651 1,246,954 623,477 1,870,432 935,216 467,608 233,804 116,902 58,451 175,354 87,677 263,032 131,516 65,758 32,879 98,638 49,319 147,958 73,979 221,938 110,969

More profiles

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