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Atlas › Integer Profiles › Node 3,342,332

3,342,332

22 × 7 × 79 × 1511
Abundant Even Composite

3,342,332 factors as 2^2 × 7 × 79 × 1511. Its 24 positive divisors give a proper-divisor sum of 3,431,428, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 79 × 1511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,773,760
Proper Divisor Sum 3,431,428
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3342331 ← → #3342341

Radix Representation

Decimal 3342332
Binary 1100101111111111111100 (22 bits)
Octal 0o14577774
Hexadecimal 0x32FFFC

Divisor Catalog (24)

1 2 4 7 14 28 79 158 316 553 1,106 1,511 2,212 3,022 6,044 10,577 21,154 42,308 119,369 238,738 477,476 835,583 1,671,166 3,342,332

Collatz Trajectory (221 steps to reach 1)

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

3,342,332 1,671,166 835,583 2,506,750 1,253,375 3,760,126 1,880,063 5,640,190 2,820,095 8,460,286 4,230,143 12,690,430 6,345,215 19,035,646 9,517,823 28,553,470 14,276,735 42,830,206 21,415,103 64,245,310 32,122,655 96,367,966 48,183,983 144,551,950 72,275,975 216,827,926 108,413,963 325,241,890 162,620,945 487,862,836 243,931,418 121,965,709 365,897,128 182,948,564 91,474,282 45,737,141 137,211,424 68,605,712 34,302,856 17,151,428 8,575,714 4,287,857 12,863,572 6,431,786 3,215,893 9,647,680 4,823,840 2,411,920 1,205,960 602,980 301,490 150,745 452,236 226,118 113,059 339,178 169,589 508,768 254,384 127,192

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