λ
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Atlas › Integer Profiles › Node 22,501,596

22,501,596

22 × 3 × 13 × 144241
Abundant Even Composite

22,501,596 factors as 2^2 × 3 × 13 × 144241. Its 24 positive divisors give a proper-divisor sum of 34,041,268, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 144241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 56,542,864
Proper Divisor Sum 34,041,268
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #22501573 ← → #22501601

Radix Representation

Decimal 22501596
Binary 1010101110101100011011100 (25 bits)
Octal 0o125654334
Hexadecimal 0x15758DC

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 144,241 288,482 432,723 576,964 865,446 1,730,892 1,875,133 3,750,266 5,625,399 7,500,532 11,250,798 22,501,596

Collatz Trajectory (110 steps to reach 1)

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

22,501,596 11,250,798 5,625,399 16,876,198 8,438,099 25,314,298 12,657,149 37,971,448 18,985,724 9,492,862 4,746,431 14,239,294 7,119,647 21,358,942 10,679,471 32,038,414 16,019,207 48,057,622 24,028,811 72,086,434 36,043,217 108,129,652 54,064,826 27,032,413 81,097,240 40,548,620 20,274,310 10,137,155 30,411,466 15,205,733 45,617,200 22,808,600 11,404,300 5,702,150 2,851,075 8,553,226 4,276,613 12,829,840 6,414,920 3,207,460 1,603,730 801,865 2,405,596 1,202,798 601,399 1,804,198 902,099 2,706,298 1,353,149 4,059,448 2,029,724 1,014,862 507,431 1,522,294 761,147 2,283,442 1,141,721 3,425,164 1,712,582 856,291

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