10,072,648

2³ × 1259081

10,072,648 factors as 2^3 × 1259081. Its 8 positive divisors give a proper-divisor sum of 8,813,582, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^3 × 1259081

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 18,886,230

Proper Divisor Sum 8,813,582

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #10072639 ← → #10072663

Radix Representation

Decimal	10072648
Binary	100110011011001001001000 (24 bits)
Octal	0o46331110
Hexadecimal	0x99B248

Divisor Catalog (8)

1 2 4 8 1,259,081 2,518,162 5,036,324 10,072,648

Collatz Trajectory (251 steps to reach 1)

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

10,072,648 5,036,324 2,518,162 1,259,081 3,777,244 1,888,622 944,311 2,832,934 1,416,467 4,249,402 2,124,701 6,374,104 3,187,052 1,593,526 796,763 2,390,290 1,195,145 3,585,436 1,792,718 896,359 2,689,078 1,344,539 4,033,618 2,016,809 6,050,428 3,025,214 1,512,607 4,537,822 2,268,911 6,806,734 3,403,367 10,210,102 5,105,051 15,315,154 7,657,577 22,972,732 11,486,366 5,743,183 17,229,550 8,614,775 25,844,326 12,922,163 38,766,490 19,383,245 58,149,736 29,074,868 14,537,434 7,268,717 21,806,152 10,903,076 5,451,538 2,725,769 8,177,308 4,088,654 2,044,327 6,132,982 3,066,491 9,199,474 4,599,737 13,799,212

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