λ
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Atlas › Integer Profiles › Node 83,170,515

83,170,515

3 × 5 × 53 × 233 × 449
Deficient Odd Composite

83,170,515 factors as 3 × 5 × 53 × 233 × 449. Its 32 positive divisors give a proper-divisor sum of 53,298,285, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3 × 5 × 53 × 233 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 136,468,800
Proper Divisor Sum 53,298,285
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #83170513 ← → #83170519

Radix Representation

Decimal 83170515
Binary 100111101010001010011010011 (27 bits)
Octal 0o475212323
Hexadecimal 0x4F514D3

Divisor Catalog (32)

1 3 5 15 53 159 233 265 449 699 795 1,165 1,347 2,245 3,495 6,735 12,349 23,797 37,047 61,745 71,391 104,617 118,985 185,235 313,851 356,955 523,085 1,569,255 5,544,701 16,634,103 27,723,505 83,170,515

Collatz Trajectory (161 steps to reach 1)

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

83,170,515 249,511,546 124,755,773 374,267,320 187,133,660 93,566,830 46,783,415 140,350,246 70,175,123 210,525,370 105,262,685 315,788,056 157,894,028 78,947,014 39,473,507 118,420,522 59,210,261 177,630,784 88,815,392 44,407,696 22,203,848 11,101,924 5,550,962 2,775,481 8,326,444 4,163,222 2,081,611 6,244,834 3,122,417 9,367,252 4,683,626 2,341,813 7,025,440 3,512,720 1,756,360 878,180 439,090 219,545 658,636 329,318 164,659 493,978 246,989 740,968 370,484 185,242 92,621 277,864 138,932 69,466 34,733 104,200 52,100 26,050 13,025 39,076 19,538 9,769 29,308 14,654

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