752,882

2 × 13 × 23 × 1259

For 752,882, the 16 positive divisors have a total of 1,270,080. Removing 752,882 leaves 517,198, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 1259

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,270,080

Proper Divisor Sum 517,198

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #752881 ← → #752891

Radix Representation

Decimal	752882
Binary	10110111110011110010 (20 bits)
Octal	0o2676362
Hexadecimal	0xB7CF2

Divisor Catalog (16)

1 2 13 23 26 46 299 598 1,259 2,518 16,367 28,957 32,734 57,914 376,441 752,882

Collatz Trajectory (193 steps to reach 1)

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

752,882 376,441 1,129,324 564,662 282,331 846,994 423,497 1,270,492 635,246 317,623 952,870 476,435 1,429,306 714,653 2,143,960 1,071,980 535,990 267,995 803,986 401,993 1,205,980 602,990 301,495 904,486 452,243 1,356,730 678,365 2,035,096 1,017,548 508,774 254,387 763,162 381,581 1,144,744 572,372 286,186 143,093 429,280 214,640 107,320 53,660 26,830 13,415 40,246 20,123 60,370 30,185 90,556 45,278 22,639 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922

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