477,390

2 × 3 × 5 × 15913

477,390 factors as 2 × 3 × 5 × 15913. Its 16 positive divisors give a proper-divisor sum of 668,418, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 15913

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,145,808

Proper Divisor Sum 668,418

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #477383 ← → #477409

Radix Representation

Decimal	477390
Binary	1110100100011001110 (19 bits)
Octal	0o1644316
Hexadecimal	0x748CE

Divisor Catalog (16)

1 2 3 5 6 10 15 30 15,913 31,826 47,739 79,565 95,478 159,130 238,695 477,390

Collatz Trajectory (125 steps to reach 1)

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

477,390 238,695 716,086 358,043 1,074,130 537,065 1,611,196 805,598 402,799 1,208,398 604,199 1,812,598 906,299 2,718,898 1,359,449 4,078,348 2,039,174 1,019,587 3,058,762 1,529,381 4,588,144 2,294,072 1,147,036 573,518 286,759 860,278 430,139 1,290,418 645,209 1,935,628 967,814 483,907 1,451,722 725,861 2,177,584 1,088,792 544,396 272,198 136,099 408,298 204,149 612,448 306,224 153,112 76,556 38,278 19,139 57,418 28,709 86,128 43,064 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170

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