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Atlas › Integer Profiles › Node 8,636,712

8,636,712

23 × 3 × 7 × 101 × 509
Abundant Even Composite

8,636,712 factors as 2^3 × 3 × 7 × 101 × 509. Its 64 positive divisors give a proper-divisor sum of 16,332,888, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 101 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,969,600
Proper Divisor Sum 16,332,888
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8636701 ← → #8636713

Radix Representation

Decimal 8636712
Binary 100000111100100100101000 (24 bits)
Octal 0o40744450
Hexadecimal 0x83C928

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 509 606 707 808 1,018 1,212 1,414 1,527 2,036 2,121 2,424 2,828 3,054 3,563 4,072 4,242 5,656 6,108 7,126 8,484 10,689 12,216 14,252 16,968 21,378 28,504 42,756 51,409 85,512 102,818 154,227 205,636 308,454 359,863 411,272 616,908 719,726 1,079,589 1,233,816 1,439,452

Collatz Trajectory (93 steps to reach 1)

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

8,636,712 4,318,356 2,159,178 1,079,589 3,238,768 1,619,384 809,692 404,846 202,423 607,270 303,635 910,906 455,453 1,366,360 683,180 341,590 170,795 512,386 256,193 768,580 384,290 192,145 576,436 288,218 144,109 432,328 216,164 108,082 54,041 162,124 81,062 40,531 121,594 60,797 182,392 91,196 45,598 22,799 68,398 34,199 102,598 51,299 153,898 76,949 230,848 115,424 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522

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