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Atlas › Integer Profiles › Node 9,625,504

9,625,504

25 × 7 × 97 × 443
Abundant Even Composite

9,625,504 factors as 2^5 × 7 × 97 × 443. Its 48 positive divisors give a proper-divisor sum of 12,304,544, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 97 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,930,048
Proper Divisor Sum 12,304,544
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9625501 ← → #9625579

Radix Representation

Decimal 9625504
Binary 100100101101111110100000 (24 bits)
Octal 0o44557640
Hexadecimal 0x92DFA0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 443 679 776 886 1,358 1,552 1,772 2,716 3,101 3,104 3,544 5,432 6,202 7,088 10,864 12,404 14,176 21,728 24,808 42,971 49,616 85,942 99,232 171,884 300,797 343,768 601,594 687,536 1,203,188 1,375,072 2,406,376 4,812,752 9,625,504

Collatz Trajectory (176 steps to reach 1)

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

9,625,504 4,812,752 2,406,376 1,203,188 601,594 300,797 902,392 451,196 225,598 112,799 338,398 169,199 507,598 253,799 761,398 380,699 1,142,098 571,049 1,713,148 856,574 428,287 1,284,862 642,431 1,927,294 963,647 2,890,942 1,445,471 4,336,414 2,168,207 6,504,622 3,252,311 9,756,934 4,878,467 14,635,402 7,317,701 21,953,104 10,976,552 5,488,276 2,744,138 1,372,069 4,116,208 2,058,104 1,029,052 514,526 257,263 771,790 385,895 1,157,686 578,843 1,736,530 868,265 2,604,796 1,302,398 651,199 1,953,598 976,799 2,930,398 1,465,199 4,395,598 2,197,799

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