9,749,740

2² × 5 × 7 × 11 × 13 × 487

9,749,740 factors as 2^2 × 5 × 7 × 11 × 13 × 487. Its 96 positive divisors give a proper-divisor sum of 17,796,884, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 13 × 487

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,546,624

Proper Divisor Sum 17,796,884

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9749731 ← → #9749741

Radix Representation

Decimal	9749740
Binary	100101001100010011101100 (24 bits)
Octal	0o45142354
Hexadecimal	0x94C4EC

Divisor Catalog (60 of 96)

1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 487 572 715 770 910 974 1,001 1,430 1,540 1,820 1,948 2,002 2,435 2,860 3,409 4,004 4,870 5,005 5,357 6,331 6,818 9,740 10,010 10,714 12,662 13,636

Collatz Trajectory (207 steps to reach 1)

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

9,749,740 4,874,870 2,437,435 7,312,306 3,656,153 10,968,460 5,484,230 2,742,115 8,226,346 4,113,173 12,339,520 6,169,760 3,084,880 1,542,440 771,220 385,610 192,805 578,416 289,208 144,604 72,302 36,151 108,454 54,227 162,682 81,341 244,024 122,012 61,006 30,503 91,510 45,755 137,266 68,633 205,900 102,950 51,475 154,426 77,213 231,640 115,820 57,910 28,955 86,866 43,433 130,300 65,150 32,575 97,726 48,863 146,590 73,295 219,886 109,943 329,830 164,915 494,746 247,373 742,120 371,060

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