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Atlas › Integer Profiles › Node 7,369,976

7,369,976

23 × 17 × 47 × 1153
Abundant Even Composite

7,369,976 factors as 2^3 × 17 × 47 × 1153. Its 32 positive divisors give a proper-divisor sum of 7,585,864, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 47 × 1153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,955,840
Proper Divisor Sum 7,585,864
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7369969 ← → #7369981

Radix Representation

Decimal 7369976
Binary 11100000111010011111000 (23 bits)
Octal 0o34072370
Hexadecimal 0x7074F8

Divisor Catalog (32)

1 2 4 8 17 34 47 68 94 136 188 376 799 1,153 1,598 2,306 3,196 4,612 6,392 9,224 19,601 39,202 54,191 78,404 108,382 156,808 216,764 433,528 921,247 1,842,494 3,684,988 7,369,976

Collatz Trajectory (142 steps to reach 1)

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

7,369,976 3,684,988 1,842,494 921,247 2,763,742 1,381,871 4,145,614 2,072,807 6,218,422 3,109,211 9,327,634 4,663,817 13,991,452 6,995,726 3,497,863 10,493,590 5,246,795 15,740,386 7,870,193 23,610,580 11,805,290 5,902,645 17,707,936 8,853,968 4,426,984 2,213,492 1,106,746 553,373 1,660,120 830,060 415,030 207,515 622,546 311,273 933,820 466,910 233,455 700,366 350,183 1,050,550 525,275 1,575,826 787,913 2,363,740 1,181,870 590,935 1,772,806 886,403 2,659,210 1,329,605 3,988,816 1,994,408 997,204 498,602 249,301 747,904 373,952 186,976 93,488 46,744

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