λ
Ratio Atlas

87,571,007

499 × 175493
Deficient Odd Composite

87,571,007 factors as 499 × 175493. Its 4 positive divisors give a proper-divisor sum of 175,993, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 499 × 175493
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 87,747,000
Proper Divisor Sum 175,993
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #87570997 ← → #87571009

Radix Representation

Decimal 87571007
Binary 101001110000011101000111111 (27 bits)
Octal 0o516035077
Hexadecimal 0x5383A3F

Divisor Catalog (4)

Collatz Trajectory (179 steps to reach 1)

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

87,571,007 262,713,022 131,356,511 394,069,534 197,034,767 591,104,302 295,552,151 886,656,454 443,328,227 1,329,984,682 664,992,341 1,994,977,024 997,488,512 498,744,256 249,372,128 124,686,064 62,343,032 31,171,516 15,585,758 7,792,879 23,378,638 11,689,319 35,067,958 17,533,979 52,601,938 26,300,969 78,902,908 39,451,454 19,725,727 59,177,182 29,588,591 88,765,774 44,382,887 133,148,662 66,574,331 199,722,994 99,861,497 299,584,492 149,792,246 74,896,123 224,688,370 112,344,185 337,032,556 168,516,278 84,258,139 252,774,418 126,387,209 379,161,628 189,580,814 94,790,407 284,371,222 142,185,611 426,556,834 213,278,417 639,835,252 319,917,626 159,958,813 479,876,440 239,938,220 119,969,110

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