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Atlas › Integer Profiles › Node 80,915,448

80,915,448

23 × 3 × 37 × 91121
Abundant Even Composite

80,915,448 factors as 2^3 × 3 × 37 × 91121. Its 32 positive divisors give a proper-divisor sum of 126,842,712, so this integer is abundant. The Collatz stopping time is 298 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 91121
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 207,758,160
Proper Divisor Sum 126,842,712
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #80915447 ← → #80915453

Radix Representation

Decimal 80915448
Binary 100110100101010101111111000 (27 bits)
Octal 0o464525770
Hexadecimal 0x4D2ABF8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 91,121 182,242 273,363 364,484 546,726 728,968 1,093,452 2,186,904 3,371,477 6,742,954 10,114,431 13,485,908 20,228,862 26,971,816 40,457,724 80,915,448

Collatz Trajectory (298 steps to reach 1)

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

80,915,448 40,457,724 20,228,862 10,114,431 30,343,294 15,171,647 45,514,942 22,757,471 68,272,414 34,136,207 102,408,622 51,204,311 153,612,934 76,806,467 230,419,402 115,209,701 345,629,104 172,814,552 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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