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Atlas › Integer Profiles › Node 83,046,015

83,046,015

32 × 5 × 13 × 141959
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 141959
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 155,020,320
Proper Divisor Sum 71,974,305
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #83046001 ← → #83046023

Radix Representation

Decimal 83046015
Binary 100111100110010111001111111 (27 bits)
Octal 0o474627177
Hexadecimal 0x4F32E7F

Divisor Catalog (24)

1 3 5 9 13 15 39 45 65 117 195 585 141,959 425,877 709,795 1,277,631 1,845,467 2,129,385 5,536,401 6,388,155 9,227,335 16,609,203 27,682,005 83,046,015

Collatz Trajectory (329 steps to reach 1)

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

83,046,015 249,138,046 124,569,023 373,707,070 186,853,535 560,560,606 280,280,303 840,840,910 420,420,455 1,261,261,366 630,630,683 1,891,892,050 945,946,025 2,837,838,076 1,418,919,038 709,459,519 2,128,378,558 1,064,189,279 3,192,567,838 1,596,283,919 4,788,851,758 2,394,425,879 7,183,277,638 3,591,638,819 10,774,916,458 5,387,458,229 16,162,374,688 8,081,187,344 4,040,593,672 2,020,296,836 1,010,148,418 505,074,209 1,515,222,628 757,611,314 378,805,657 1,136,416,972 568,208,486 284,104,243 852,312,730 426,156,365 1,278,469,096 639,234,548 319,617,274 159,808,637 479,425,912 239,712,956 119,856,478 59,928,239 179,784,718 89,892,359 269,677,078 134,838,539 404,515,618 202,257,809 606,773,428 303,386,714 151,693,357 455,080,072 227,540,036 113,770,018

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