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Atlas › Integer Profiles › Node 11,629,920

11,629,920

25 × 3 × 5 × 24229
Abundant Even Composite

11,629,920 factors as 2^5 × 3 × 5 × 24229. Its 48 positive divisors give a proper-divisor sum of 25,005,840, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 24229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 36,635,760
Proper Divisor Sum 25,005,840
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11629913 ← → #11629931

Radix Representation

Decimal 11629920
Binary 101100010111010101100000 (24 bits)
Octal 0o54272540
Hexadecimal 0xB17560

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 24,229 48,458 72,687 96,916 121,145 145,374 193,832 242,290 290,748 363,435 387,664 484,580 581,496 726,870 775,328 969,160 1,162,992 1,453,740 1,938,320 2,325,984 2,907,480 3,876,640 5,814,960 11,629,920

Collatz Trajectory (171 steps to reach 1)

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

11,629,920 5,814,960 2,907,480 1,453,740 726,870 363,435 1,090,306 545,153 1,635,460 817,730 408,865 1,226,596 613,298 306,649 919,948 459,974 229,987 689,962 344,981 1,034,944 517,472 258,736 129,368 64,684 32,342 16,171 48,514 24,257 72,772 36,386 18,193 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302

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