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Atlas › Integer Profiles › Node 9,750,440

9,750,440

23 × 5 × 7 × 97 × 359
Abundant Even Composite

9,750,440 factors as 2^3 × 5 × 7 × 97 × 359. Its 64 positive divisors give a proper-divisor sum of 15,651,160, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 97 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,401,600
Proper Divisor Sum 15,651,160
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9750407 ← → #9750473

Radix Representation

Decimal 9750440
Binary 100101001100011110101000 (24 bits)
Octal 0o45143650
Hexadecimal 0x94C7A8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 359 388 485 679 718 776 970 1,358 1,436 1,795 1,940 2,513 2,716 2,872 3,395 3,590 3,880 5,026 5,432 6,790 7,180 10,052 12,565 13,580 14,360 20,104 25,130 27,160 34,823 50,260 69,646 100,520 139,292 174,115 243,761 278,584 348,230 487,522 696,460 975,044 1,218,805 1,392,920

Collatz Trajectory (114 steps to reach 1)

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

9,750,440 4,875,220 2,437,610 1,218,805 3,656,416 1,828,208 914,104 457,052 228,526 114,263 342,790 171,395 514,186 257,093 771,280 385,640 192,820 96,410 48,205 144,616 72,308 36,154 18,077 54,232 27,116 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721

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