627,653

13 × 48281

627,653 factors as 13 × 48281. Its 4 positive divisors give a proper-divisor sum of 48,295, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 13 × 48281

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 675,948

Proper Divisor Sum 48,295

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #627643 ← → #627659

Radix Representation

Decimal	627653
Binary	10011001001111000101 (20 bits)
Octal	0o2311705
Hexadecimal	0x993C5

Divisor Catalog (4)

1 13 48,281 627,653

Collatz Trajectory (110 steps to reach 1)

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

627,653 1,882,960 941,480 470,740 235,370 117,685 353,056 176,528 88,264 44,132 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665

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