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Atlas › Integer Profiles › Node 8,044,974

8,044,974

2 × 33 × 7 × 21283
Abundant Even Composite

8,044,974 factors as 2 × 3^3 × 7 × 21283. Its 32 positive divisors give a proper-divisor sum of 12,387,666, so this integer is abundant. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 21283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,432,640
Proper Divisor Sum 12,387,666
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8044951 ← → #8044987

Radix Representation

Decimal 8044974
Binary 11110101100000110101110 (23 bits)
Octal 0o36540656
Hexadecimal 0x7AC1AE

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 21,283 42,566 63,849 127,698 148,981 191,547 297,962 383,094 446,943 574,641 893,886 1,149,282 1,340,829 2,681,658 4,022,487 8,044,974

Collatz Trajectory (292 steps to reach 1)

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

8,044,974 4,022,487 12,067,462 6,033,731 18,101,194 9,050,597 27,151,792 13,575,896 6,787,948 3,393,974 1,696,987 5,090,962 2,545,481 7,636,444 3,818,222 1,909,111 5,727,334 2,863,667 8,591,002 4,295,501 12,886,504 6,443,252 3,221,626 1,610,813 4,832,440 2,416,220 1,208,110 604,055 1,812,166 906,083 2,718,250 1,359,125 4,077,376 2,038,688 1,019,344 509,672 254,836 127,418 63,709 191,128 95,564 47,782 23,891 71,674 35,837 107,512 53,756 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178

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