557,012

2² × 131 × 1063

557,012 factors as 2^2 × 131 × 1063. Its 12 positive divisors give a proper-divisor sum of 426,124, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 131 × 1063

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 983,136

Proper Divisor Sum 426,124

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #556999 ← → #557017

Radix Representation

Decimal	557012
Binary	10000111111111010100 (20 bits)
Octal	0o2077724
Hexadecimal	0x87FD4

Divisor Catalog (12)

1 2 4 131 262 524 1,063 2,126 4,252 139,253 278,506 557,012

Collatz Trajectory (115 steps to reach 1)

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

557,012 278,506 139,253 417,760 208,880 104,440 52,220 26,110 13,055 39,166 19,583 58,750 29,375 88,126 44,063 132,190 66,095 198,286 99,143 297,430 148,715 446,146 223,073 669,220 334,610 167,305 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108 59,554 29,777 89,332 44,666 22,333 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202

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