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Atlas › Integer Profiles › Node 11,408,120

11,408,120

23 × 5 × 307 × 929
Abundant Even Composite

11,408,120 factors as 2^3 × 5 × 307 × 929. Its 32 positive divisors give a proper-divisor sum of 14,371,480, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 307 × 929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,779,600
Proper Divisor Sum 14,371,480
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #11408119 ← → #11408123

Radix Representation

Decimal 11408120
Binary 101011100001001011111000 (24 bits)
Octal 0o53411370
Hexadecimal 0xAE12F8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 307 614 929 1,228 1,535 1,858 2,456 3,070 3,716 4,645 6,140 7,432 9,290 12,280 18,580 37,160 285,203 570,406 1,140,812 1,426,015 2,281,624 2,852,030 5,704,060 11,408,120

Collatz Trajectory (127 steps to reach 1)

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

11,408,120 5,704,060 2,852,030 1,426,015 4,278,046 2,139,023 6,417,070 3,208,535 9,625,606 4,812,803 14,438,410 7,219,205 21,657,616 10,828,808 5,414,404 2,707,202 1,353,601 4,060,804 2,030,402 1,015,201 3,045,604 1,522,802 761,401 2,284,204 1,142,102 571,051 1,713,154 856,577 2,569,732 1,284,866 642,433 1,927,300 963,650 481,825 1,445,476 722,738 361,369 1,084,108 542,054 271,027 813,082 406,541 1,219,624 609,812 304,906 152,453 457,360 228,680 114,340 57,170 28,585 85,756 42,878 21,439 64,318 32,159 96,478 48,239 144,718 72,359

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