338,613

3 × 11 × 31 × 331

338,613 factors as 3 × 11 × 31 × 331. Its 16 positive divisors give a proper-divisor sum of 171,339, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 3 × 11 × 31 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 509,952

Proper Divisor Sum 171,339

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #338609 ← → #338659

Radix Representation

Decimal	338613
Binary	1010010101010110101 (19 bits)
Octal	0o1225265
Hexadecimal	0x52AB5

Divisor Catalog (16)

1 3 11 31 33 93 331 341 993 1,023 3,641 10,261 10,923 30,783 112,871 338,613

Collatz Trajectory (109 steps to reach 1)

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

338,613 1,015,840 507,920 253,960 126,980 63,490 31,745 95,236 47,618 23,809 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359

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