621,189

3⁴ × 7669

621,189 factors as 3^4 × 7669. Its 10 positive divisors give a proper-divisor sum of 306,881, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3^4 × 7669

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 928,070

Proper Divisor Sum 306,881

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #621143 ← → #621217

Radix Representation

Decimal	621189
Binary	10010111101010000101 (20 bits)
Octal	0o2275205
Hexadecimal	0x97A85

Divisor Catalog (10)

1 3 9 27 81 7,669 23,007 69,021 207,063 621,189

Collatz Trajectory (79 steps to reach 1)

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

621,189 1,863,568 931,784 465,892 232,946 116,473 349,420 174,710 87,355 262,066 131,033 393,100 196,550 98,275 294,826 147,413 442,240 221,120 110,560 55,280 27,640 13,820 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112

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