620,172

2² × 3² × 7 × 23 × 107

620,172 has digital root 9. The neighboring primes are 620171 and 620183; its proper-divisor sum differs from the starting integer by 646,632.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 23 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,886,976

Proper Divisor Sum 1,266,804

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #620171 ← → #620183

Radix Representation

Decimal	620172
Binary	10010111011010001100 (20 bits)
Octal	0o2273214
Hexadecimal	0x9768C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 107 126 138 161 207 214 252 276 321 322 414 428 483 642 644 749 828 963 966 1,284 1,449 1,498 1,926 1,932 2,247 2,461 2,898 2,996 3,852 4,494 4,922 5,796 6,741 7,383 8,988 9,844 13,482 14,766 17,227 22,149

Collatz Trajectory (172 steps to reach 1)

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

620,172 310,086 155,043 465,130 232,565 697,696 348,848 174,424 87,212 43,606 21,803 65,410 32,705 98,116 49,058 24,529 73,588 36,794 18,397 55,192 27,596 13,798 6,899 20,698 10,349 31,048 15,524 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110

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