5,772,076

2² × 31 × 46549

5,772,076 factors as 2^2 × 31 × 46549. Its 12 positive divisors give a proper-divisor sum of 4,655,124, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 46549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,427,200

Proper Divisor Sum 4,655,124

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5772059 ← → #5772077

Radix Representation

Decimal	5772076
Binary	10110000001001100101100 (23 bits)
Octal	0o26011454
Hexadecimal	0x58132C

Divisor Catalog (12)

1 2 4 31 62 124 46,549 93,098 186,196 1,443,019 2,886,038 5,772,076

Collatz Trajectory (126 steps to reach 1)

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

5,772,076 2,886,038 1,443,019 4,329,058 2,164,529 6,493,588 3,246,794 1,623,397 4,870,192 2,435,096 1,217,548 608,774 304,387 913,162 456,581 1,369,744 684,872 342,436 171,218 85,609 256,828 128,414 64,207 192,622 96,311 288,934 144,467 433,402 216,701 650,104 325,052 162,526 81,263 243,790 121,895 365,686 182,843 548,530 274,265 822,796 411,398 205,699 617,098 308,549 925,648 462,824 231,412 115,706 57,853 173,560 86,780 43,390 21,695 65,086 32,543 97,630 48,815 146,446 73,223 219,670

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