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Atlas › Integer Profiles › Node 96,226,400

96,226,400

25 × 52 × 120283
Abundant Even Composite

96,226,400 factors as 2^5 × 5^2 × 120283. Its 36 positive divisors give a proper-divisor sum of 138,688,252, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 120283
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 234,914,652
Proper Divisor Sum 138,688,252
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #96226367 ← → #96226421

Radix Representation

Decimal 96226400
Binary 101101111000100110001100000 (27 bits)
Octal 0o557046140
Hexadecimal 0x5BC4C60

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 120,283 240,566 481,132 601,415 962,264 1,202,830 1,924,528 2,405,660 3,007,075 3,849,056 4,811,320 6,014,150 9,622,640 12,028,300 19,245,280 24,056,600 48,113,200 96,226,400

Collatz Trajectory (117 steps to reach 1)

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

96,226,400 48,113,200 24,056,600 12,028,300 6,014,150 3,007,075 9,021,226 4,510,613 13,531,840 6,765,920 3,382,960 1,691,480 845,740 422,870 211,435 634,306 317,153 951,460 475,730 237,865 713,596 356,798 178,399 535,198 267,599 802,798 401,399 1,204,198 602,099 1,806,298 903,149 2,709,448 1,354,724 677,362 338,681 1,016,044 508,022 254,011 762,034 381,017 1,143,052 571,526 285,763 857,290 428,645 1,285,936 642,968 321,484 160,742 80,371 241,114 120,557 361,672 180,836 90,418 45,209 135,628 67,814 33,907 101,722

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