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Atlas › Integer Profiles › Node 9,592,002

9,592,002

2 × 32 × 7 × 269 × 283
Abundant Even Composite

9,592,002 factors as 2 × 3^2 × 7 × 269 × 283. Its 48 positive divisors give a proper-divisor sum of 14,332,158, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 269 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,924,160
Proper Divisor Sum 14,332,158
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9592001 ← → #9592003

Radix Representation

Decimal 9592002
Binary 100100100101110011000010 (24 bits)
Octal 0o44456302
Hexadecimal 0x925CC2

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 126 269 283 538 566 807 849 1,614 1,698 1,883 1,981 2,421 2,547 3,766 3,962 4,842 5,094 5,649 5,943 11,298 11,886 16,947 17,829 33,894 35,658 76,127 152,254 228,381 456,762 532,889 685,143 1,065,778 1,370,286 1,598,667 3,197,334 4,796,001 9,592,002

Collatz Trajectory (119 steps to reach 1)

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

9,592,002 4,796,001 14,388,004 7,194,002 3,597,001 10,791,004 5,395,502 2,697,751 8,093,254 4,046,627 12,139,882 6,069,941 18,209,824 9,104,912 4,552,456 2,276,228 1,138,114 569,057 1,707,172 853,586 426,793 1,280,380 640,190 320,095 960,286 480,143 1,440,430 720,215 2,160,646 1,080,323 3,240,970 1,620,485 4,861,456 2,430,728 1,215,364 607,682 303,841 911,524 455,762 227,881 683,644 341,822 170,911 512,734 256,367 769,102 384,551 1,153,654 576,827 1,730,482 865,241 2,595,724 1,297,862 648,931 1,946,794 973,397 2,920,192 1,460,096 730,048 365,024

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