λ
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9,020,132

22 × 11 × 17 × 31 × 389
Abundant Even Composite

9,020,132 factors as 2^2 × 11 × 17 × 31 × 389. Its 48 positive divisors give a proper-divisor sum of 9,849,628, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 31 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,869,760
Proper Divisor Sum 9,849,628
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #9020113 ← → #9020147

Radix Representation

Decimal 9020132
Binary 100010011010001011100100 (24 bits)
Octal 0o42321344
Hexadecimal 0x89A2E4

Divisor Catalog (48)

1 2 4 11 17 22 31 34 44 62 68 124 187 341 374 389 527 682 748 778 1,054 1,364 1,556 2,108 4,279 5,797 6,613 8,558 11,594 12,059 13,226 17,116 23,188 24,118 26,452 48,236 72,743 132,649 145,486 205,003 265,298 290,972 410,006 530,596 820,012 2,255,033 4,510,066 9,020,132

Collatz Trajectory (88 steps to reach 1)

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

9,020,132 4,510,066 2,255,033 6,765,100 3,382,550 1,691,275 5,073,826 2,536,913 7,610,740 3,805,370 1,902,685 5,708,056 2,854,028 1,427,014 713,507 2,140,522 1,070,261 3,210,784 1,605,392 802,696 401,348 200,674 100,337 301,012 150,506 75,253 225,760 112,880 56,440 28,220 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268

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