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Atlas › Integer Profiles › Node 85,675,725

85,675,725

37 × 52 × 1567
Deficient Odd Composite

85,675,725 factors as 3^7 × 5^2 × 1567. Its 48 positive divisors give a proper-divisor sum of 73,758,515, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3^7 × 5^2 × 1567
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 159,434,240
Proper Divisor Sum 73,758,515
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #85675717 ← → #85675747

Radix Representation

Decimal 85675725
Binary 101000110110100111011001101 (27 bits)
Octal 0o506647315
Hexadecimal 0x51B4ECD

Divisor Catalog (48)

1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1,215 1,567 2,025 2,187 3,645 4,701 6,075 7,835 10,935 14,103 18,225 23,505 39,175 42,309 54,675 70,515 117,525 126,927 211,545 352,575 380,781 634,635 1,057,725 1,142,343 1,903,905 3,173,175 3,427,029 5,711,715 9,519,525 17,135,145 28,558,575 85,675,725

Collatz Trajectory (161 steps to reach 1)

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

85,675,725 257,027,176 128,513,588 64,256,794 32,128,397 96,385,192 48,192,596 24,096,298 12,048,149 36,144,448 18,072,224 9,036,112 4,518,056 2,259,028 1,129,514 564,757 1,694,272 847,136 423,568 211,784 105,892 52,946 26,473 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424 4,712 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71

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