λ
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Atlas › Integer Profiles › Node 45,548,090

45,548,090

2 × 5 × 7 × 61 × 10667
Abundant Even Composite

45,548,090 factors as 2 × 5 × 7 × 61 × 10667. Its 32 positive divisors give a proper-divisor sum of 49,695,814, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 61 × 10667
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,243,904
Proper Divisor Sum 49,695,814
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #45548077 ← → #45548197

Radix Representation

Decimal 45548090
Binary 10101101110000001000111010 (26 bits)
Octal 0o255601072
Hexadecimal 0x2B7023A

Divisor Catalog (32)

1 2 5 7 10 14 35 61 70 122 305 427 610 854 2,135 4,270 10,667 21,334 53,335 74,669 106,670 149,338 373,345 650,687 746,690 1,301,374 3,253,435 4,554,809 6,506,870 9,109,618 22,774,045 45,548,090

Collatz Trajectory (155 steps to reach 1)

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

45,548,090 22,774,045 68,322,136 34,161,068 17,080,534 8,540,267 25,620,802 12,810,401 38,431,204 19,215,602 9,607,801 28,823,404 14,411,702 7,205,851 21,617,554 10,808,777 32,426,332 16,213,166 8,106,583 24,319,750 12,159,875 36,479,626 18,239,813 54,719,440 27,359,720 13,679,860 6,839,930 3,419,965 10,259,896 5,129,948 2,564,974 1,282,487 3,847,462 1,923,731 5,771,194 2,885,597 8,656,792 4,328,396 2,164,198 1,082,099 3,246,298 1,623,149 4,869,448 2,434,724 1,217,362 608,681 1,826,044 913,022 456,511 1,369,534 684,767 2,054,302 1,027,151 3,081,454 1,540,727 4,622,182 2,311,091 6,933,274 3,466,637 10,399,912

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