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Atlas › Integer Profiles › Node 45,003,192

45,003,192

23 × 3 × 13 × 144241
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 121,163,280
Proper Divisor Sum 76,160,088
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #45003187 ← → #45003193

Radix Representation

Decimal 45003192
Binary 10101011101011000110111000 (26 bits)
Octal 0o253530670
Hexadecimal 0x2AEB1B8

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 144,241 288,482 432,723 576,964 865,446 1,153,928 1,730,892 1,875,133 3,461,784 3,750,266 5,625,399 7,500,532 11,250,798 15,001,064 22,501,596 45,003,192

Collatz Trajectory (111 steps to reach 1)

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

45,003,192 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

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