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Atlas › Integer Profiles › Node 86,649,524

86,649,524

22 × 13 × 59 × 61 × 463
Deficient Even Composite

86,649,524 factors as 2^2 × 13 × 59 × 61 × 463. Its 48 positive divisors give a proper-divisor sum of 82,506,316, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 59 × 61 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 169,155,840
Proper Divisor Sum 82,506,316
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #86649517 ← → #86649547

Radix Representation

Decimal 86649524
Binary 101001010100010101010110100 (27 bits)
Octal 0o512425264
Hexadecimal 0x52A2AB4

Divisor Catalog (48)

1 2 4 13 26 52 59 61 118 122 236 244 463 767 793 926 1,534 1,586 1,852 3,068 3,172 3,599 6,019 7,198 12,038 14,396 24,076 27,317 28,243 46,787 54,634 56,486 93,574 109,268 112,972 187,148 355,121 367,159 710,242 734,318 1,420,484 1,468,636 1,666,337 3,332,674 6,665,348 21,662,381 43,324,762 86,649,524

Collatz Trajectory (91 steps to reach 1)

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

86,649,524 43,324,762 21,662,381 64,987,144 32,493,572 16,246,786 8,123,393 24,370,180 12,185,090 6,092,545 18,277,636 9,138,818 4,569,409 13,708,228 6,854,114 3,427,057 10,281,172 5,140,586 2,570,293 7,710,880 3,855,440 1,927,720 963,860 481,930 240,965 722,896 361,448 180,724 90,362 45,181 135,544 67,772 33,886 16,943 50,830 25,415 76,246 38,123 114,370 57,185 171,556 85,778 42,889 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604

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