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Atlas › Integer Profiles › Node 80,915,440

80,915,440

24 × 5 × 1011443
Abundant Even Composite

80,915,440 factors as 2^4 × 5 × 1011443. Its 20 positive divisors give a proper-divisor sum of 107,213,144, so this integer is abundant. The Collatz stopping time is 298 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 1011443
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 188,128,584
Proper Divisor Sum 107,213,144
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #80915413 ← → #80915441

Radix Representation

Decimal 80915440
Binary 100110100101010101111110000 (27 bits)
Octal 0o464525760
Hexadecimal 0x4D2ABF0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 1,011,443 2,022,886 4,045,772 5,057,215 8,091,544 10,114,430 16,183,088 20,228,860 40,457,720 80,915,440

Collatz Trajectory (298 steps to reach 1)

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

80,915,440 40,457,720 20,228,860 10,114,430 5,057,215 15,171,646 7,585,823 22,757,470 11,378,735 34,136,206 17,068,103 51,204,310 25,602,155 76,806,466 38,403,233 115,209,700 57,604,850 28,802,425 86,407,276 43,203,638 21,601,819 64,805,458 32,402,729 97,208,188 48,604,094 24,302,047 72,906,142 36,453,071 109,359,214 54,679,607 164,038,822 82,019,411 246,058,234 123,029,117 369,087,352 184,543,676 92,271,838 46,135,919 138,407,758 69,203,879 207,611,638 103,805,819 311,417,458 155,708,729 467,126,188 233,563,094 116,781,547 350,344,642 175,172,321 525,516,964 262,758,482 131,379,241 394,137,724 197,068,862 98,534,431 295,603,294 147,801,647 443,404,942 221,702,471 665,107,414

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