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Atlas › Integer Profiles › Node 3,045,132

3,045,132

22 × 32 × 251 × 337
Abundant Even Composite

3,045,132 factors as 2^2 × 3^2 × 251 × 337. Its 36 positive divisors give a proper-divisor sum of 4,705,884, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 251 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,751,016
Proper Divisor Sum 4,705,884
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3045127 ← → #3045139

Radix Representation

Decimal 3045132
Binary 1011100111011100001100 (22 bits)
Octal 0o13473414
Hexadecimal 0x2E770C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 251 337 502 674 753 1,004 1,011 1,348 1,506 2,022 2,259 3,012 3,033 4,044 4,518 6,066 9,036 12,132 84,587 169,174 253,761 338,348 507,522 761,283 1,015,044 1,522,566 3,045,132

Collatz Trajectory (120 steps to reach 1)

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

3,045,132 1,522,566 761,283 2,283,850 1,141,925 3,425,776 1,712,888 856,444 428,222 214,111 642,334 321,167 963,502 481,751 1,445,254 722,627 2,167,882 1,083,941 3,251,824 1,625,912 812,956 406,478 203,239 609,718 304,859 914,578 457,289 1,371,868 685,934 342,967 1,028,902 514,451 1,543,354 771,677 2,315,032 1,157,516 578,758 289,379 868,138 434,069 1,302,208 651,104 325,552 162,776 81,388 40,694 20,347 61,042 30,521 91,564 45,782 22,891 68,674 34,337 103,012 51,506 25,753 77,260 38,630 19,315

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