7,909,720

2³ × 5 × 7 × 13 × 41 × 53

7,909,720 factors as 2^3 × 5 × 7 × 13 × 41 × 53. Its 128 positive divisors give a proper-divisor sum of 14,951,720, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 13 × 41 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 22,861,440

Proper Divisor Sum 14,951,720

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7909711 ← → #7909729

Radix Representation

Decimal	7909720
Binary	11110001011000101011000 (23 bits)
Octal	0o36130530
Hexadecimal	0x78B158

Divisor Catalog (60 of 128)

1 2 4 5 7 8 10 13 14 20 26 28 35 40 41 52 53 56 65 70 82 91 104 106 130 140 164 182 205 212 260 265 280 287 328 364 371 410 424 455 520 530 533 574 689 728 742 820 910 1,060 1,066 1,148 1,378 1,435 1,484 1,640 1,820 1,855 2,120 2,132

Collatz Trajectory (155 steps to reach 1)

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

7,909,720 3,954,860 1,977,430 988,715 2,966,146 1,483,073 4,449,220 2,224,610 1,112,305 3,336,916 1,668,458 834,229 2,502,688 1,251,344 625,672 312,836 156,418 78,209 234,628 117,314 58,657 175,972 87,986 43,993 131,980 65,990 32,995 98,986 49,493 148,480 74,240 37,120 18,560 9,280 4,640 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242

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