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Atlas › Integer Profiles › Node 9,104,430

9,104,430

2 × 3 × 5 × 157 × 1933
Abundant Even Composite

9,104,430 factors as 2 × 3 × 5 × 157 × 1933. Its 32 positive divisors give a proper-divisor sum of 12,896,754, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 157 × 1933
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,001,184
Proper Divisor Sum 12,896,754
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9104423 ← → #9104437

Radix Representation

Decimal 9104430
Binary 100010101110110000101110 (24 bits)
Octal 0o42566056
Hexadecimal 0x8AEC2E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 157 314 471 785 942 1,570 1,933 2,355 3,866 4,710 5,799 9,665 11,598 19,330 28,995 57,990 303,481 606,962 910,443 1,517,405 1,820,886 3,034,810 4,552,215 9,104,430

Collatz Trajectory (243 steps to reach 1)

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

9,104,430 4,552,215 13,656,646 6,828,323 20,484,970 10,242,485 30,727,456 15,363,728 7,681,864 3,840,932 1,920,466 960,233 2,880,700 1,440,350 720,175 2,160,526 1,080,263 3,240,790 1,620,395 4,861,186 2,430,593 7,291,780 3,645,890 1,822,945 5,468,836 2,734,418 1,367,209 4,101,628 2,050,814 1,025,407 3,076,222 1,538,111 4,614,334 2,307,167 6,921,502 3,460,751 10,382,254 5,191,127 15,573,382 7,786,691 23,360,074 11,680,037 35,040,112 17,520,056 8,760,028 4,380,014 2,190,007 6,570,022 3,285,011 9,855,034 4,927,517 14,782,552 7,391,276 3,695,638 1,847,819 5,543,458 2,771,729 8,315,188 4,157,594 2,078,797

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