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Atlas › Integer Profiles › Node 9,504,400

9,504,400

24 × 52 × 23761
Abundant Even Composite

9,504,400 factors as 2^4 × 5^2 × 23761. Its 30 positive divisors give a proper-divisor sum of 13,330,882, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 23761
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 22,835,282
Proper Divisor Sum 13,330,882
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9504379 ← → #9504409

Radix Representation

Decimal 9504400
Binary 100100010000011010010000 (24 bits)
Octal 0o44203220
Hexadecimal 0x910690

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 23,761 47,522 95,044 118,805 190,088 237,610 380,176 475,220 594,025 950,440 1,188,050 1,900,880 2,376,100 4,752,200 9,504,400

Collatz Trajectory (194 steps to reach 1)

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

9,504,400 4,752,200 2,376,100 1,188,050 594,025 1,782,076 891,038 445,519 1,336,558 668,279 2,004,838 1,002,419 3,007,258 1,503,629 4,510,888 2,255,444 1,127,722 563,861 1,691,584 845,792 422,896 211,448 105,724 52,862 26,431 79,294 39,647 118,942 59,471 178,414 89,207 267,622 133,811 401,434 200,717 602,152 301,076 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675

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