2,557,724

2² × 13 × 101 × 487

2,557,724 factors as 2^2 × 13 × 101 × 487. Its 24 positive divisors give a proper-divisor sum of 2,320,324, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 101 × 487

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,878,048

Proper Divisor Sum 2,320,324

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2557697 ← → #2557729

Radix Representation

Decimal	2557724
Binary	1001110000011100011100 (22 bits)
Octal	0o11603434
Hexadecimal	0x27071C

Divisor Catalog (24)

Collatz Trajectory (73 steps to reach 1)

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

2,557,724 1,278,862 639,431 1,918,294 959,147 2,877,442 1,438,721 4,316,164 2,158,082 1,079,041 3,237,124 1,618,562 809,281 2,427,844 1,213,922 606,961 1,820,884 910,442 455,221 1,365,664 682,832 341,416 170,708 85,354 42,677 128,032 64,016 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452

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