2,758,752

2⁵ × 3³ × 31 × 103

2,758,752 factors as 2^5 × 3^3 × 31 × 103. Its 96 positive divisors give a proper-divisor sum of 5,627,808, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 31 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,386,560

Proper Divisor Sum 5,627,808

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2758711 ← → #2758771

Radix Representation

Decimal	2758752
Binary	1010100001100001100000 (22 bits)
Octal	0o12414140
Hexadecimal	0x2A1860

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 103 108 124 144 186 206 216 248 279 288 309 372 412 432 496 558 618 744 824 837 864 927 992 1,116 1,236 1,488 1,648 1,674 1,854 2,232 2,472 2,781 2,976 3,193 3,296 3,348 3,708 4,464 4,944

Collatz Trajectory (94 steps to reach 1)

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

2,758,752 1,379,376 689,688 344,844 172,422 86,211 258,634 129,317 387,952 193,976 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918

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