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Atlas › Integer Profiles › Node 9,741,400

9,741,400

23 × 52 × 53 × 919
Abundant Even Composite

9,741,400 factors as 2^3 × 5^2 × 53 × 919. Its 48 positive divisors give a proper-divisor sum of 13,359,800, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 53 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,101,200
Proper Divisor Sum 13,359,800
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9741383 ← → #9741449

Radix Representation

Decimal 9741400
Binary 100101001010010001011000 (24 bits)
Octal 0o45122130
Hexadecimal 0x94A458

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 919 1,060 1,325 1,838 2,120 2,650 3,676 4,595 5,300 7,352 9,190 10,600 18,380 22,975 36,760 45,950 48,707 91,900 97,414 183,800 194,828 243,535 389,656 487,070 974,140 1,217,675 1,948,280 2,435,350 4,870,700 9,741,400

Collatz Trajectory (207 steps to reach 1)

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

9,741,400 4,870,700 2,435,350 1,217,675 3,653,026 1,826,513 5,479,540 2,739,770 1,369,885 4,109,656 2,054,828 1,027,414 513,707 1,541,122 770,561 2,311,684 1,155,842 577,921 1,733,764 866,882 433,441 1,300,324 650,162 325,081 975,244 487,622 243,811 731,434 365,717 1,097,152 548,576 274,288 137,144 68,572 34,286 17,143 51,430 25,715 77,146 38,573 115,720 57,860 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300

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