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Atlas › Integer Profiles › Node 11,325,132

11,325,132

22 × 32 × 7 × 13 × 3457
Abundant Even Composite

11,325,132 factors as 2^2 × 3^2 × 7 × 13 × 3457. Its 72 positive divisors give a proper-divisor sum of 23,918,804, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 13 × 3457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 35,243,936
Proper Divisor Sum 23,918,804
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #11325113 ← → #11325133

Radix Representation

Decimal 11325132
Binary 101011001100111011001100 (24 bits)
Octal 0o53147314
Hexadecimal 0xACCECC

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1,092 1,638 3,276 3,457 6,914 10,371 13,828 20,742 24,199 31,113 41,484 44,941 48,398 62,226 72,597 89,882 96,796 124,452 134,823 145,194 179,764 217,791 269,646 290,388 314,587 404,469 435,582

Collatz Trajectory (109 steps to reach 1)

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

11,325,132 5,662,566 2,831,283 8,493,850 4,246,925 12,740,776 6,370,388 3,185,194 1,592,597 4,777,792 2,388,896 1,194,448 597,224 298,612 149,306 74,653 223,960 111,980 55,990 27,995 83,986 41,993 125,980 62,990 31,495 94,486 47,243 141,730 70,865 212,596 106,298 53,149 159,448 79,724 39,862 19,931 59,794 29,897 89,692 44,846 22,423 67,270 33,635 100,906 50,453 151,360 75,680 37,840 18,920 9,460 4,730 2,365 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997

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