628,117

7 × 61 × 1471

628,117 factors as 7 × 61 × 1471. Its 8 positive divisors give a proper-divisor sum of 101,995, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 7 × 61 × 1471

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 730,112

Proper Divisor Sum 101,995

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #628097 ← → #628127

Radix Representation

Decimal	628117
Binary	10011001010110010101 (20 bits)
Octal	0o2312625
Hexadecimal	0x99595

Divisor Catalog (8)

1 7 61 427 1,471 10,297 89,731 628,117

Collatz Trajectory (172 steps to reach 1)

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

628,117 1,884,352 942,176 471,088 235,544 117,772 58,886 29,443 88,330 44,165 132,496 66,248 33,124 16,562 8,281 24,844 12,422 6,211 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

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