2,767,592

2³ × 457 × 757

2,767,592 factors as 2^3 × 457 × 757. Its 16 positive divisors give a proper-divisor sum of 2,439,868, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^3 × 457 × 757

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,207,460

Proper Divisor Sum 2,439,868

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2767579 ← → #2767603

Radix Representation

Decimal	2767592
Binary	1010100011101011101000 (22 bits)
Octal	0o12435350
Hexadecimal	0x2A3AE8

Divisor Catalog (16)

1 2 4 8 457 757 914 1,514 1,828 3,028 3,656 6,056 345,949 691,898 1,383,796 2,767,592

Collatz Trajectory (81 steps to reach 1)

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

2,767,592 1,383,796 691,898 345,949 1,037,848 518,924 259,462 129,731 389,194 194,597 583,792 291,896 145,948 72,974 36,487 109,462 54,731 164,194 82,097 246,292 123,146 61,573 184,720 92,360 46,180 23,090 11,545 34,636 17,318 8,659 25,978 12,989 38,968 19,484 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488

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