57,769,201

7 × 59 × 137 × 1021

57,769,201 factors as 7 × 59 × 137 × 1021. Its 16 positive divisors give a proper-divisor sum of 9,928,079, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 7 × 59 × 137 × 1021

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 67,697,280

Proper Divisor Sum 9,928,079

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #57769163 ← → #57769211

Radix Representation

Decimal	57769201
Binary	11011100010111110011110001 (26 bits)
Octal	0o334276361
Hexadecimal	0x3717CF1

Divisor Catalog (16)

1 7 59 137 413 959 1,021 7,147 8,083 56,581 60,239 139,877 421,673 979,139 8,252,743 57,769,201

Collatz Trajectory (145 steps to reach 1)

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

57,769,201 173,307,604 86,653,802 43,326,901 129,980,704 64,990,352 32,495,176 16,247,588 8,123,794 4,061,897 12,185,692 6,092,846 3,046,423 9,139,270 4,569,635 13,708,906 6,854,453 20,563,360 10,281,680 5,140,840 2,570,420 1,285,210 642,605 1,927,816 963,908 481,954 240,977 722,932 361,466 180,733 542,200 271,100 135,550 67,775 203,326 101,663 304,990 152,495 457,486 228,743 686,230 343,115 1,029,346 514,673 1,544,020 772,010 386,005 1,158,016 579,008 289,504 144,752 72,376 36,188 18,094 9,047 27,142 13,571 40,714 20,357 61,072

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