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Atlas › Integer Profiles › Node 85,675,746

85,675,746

2 × 3 × 13 × 757 × 1451
Abundant Even Composite

85,675,746 factors as 2 × 3 × 13 × 757 × 1451. Its 32 positive divisors give a proper-divisor sum of 99,227,742, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 757 × 1451
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 184,903,488
Proper Divisor Sum 99,227,742
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #85675717 ← → #85675747

Radix Representation

Decimal 85675746
Binary 101000110110100111011100010 (27 bits)
Octal 0o506647342
Hexadecimal 0x51B4EE2

Divisor Catalog (32)

1 2 3 6 13 26 39 78 757 1,451 1,514 2,271 2,902 4,353 4,542 8,706 9,841 18,863 19,682 29,523 37,726 56,589 59,046 113,178 1,098,407 2,196,814 3,295,221 6,590,442 14,279,291 28,558,582 42,837,873 85,675,746

Collatz Trajectory (161 steps to reach 1)

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

85,675,746 42,837,873 128,513,620 64,256,810 32,128,405 96,385,216 48,192,608 24,096,304 12,048,152 6,024,076 3,012,038 1,506,019 4,518,058 2,259,029 6,777,088 3,388,544 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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