508,653

3³ × 18839

508,653 factors as 3^3 × 18839. Its 8 positive divisors give a proper-divisor sum of 244,947, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3^3 × 18839

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 753,600

Proper Divisor Sum 244,947

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #508643 ← → #508661

Radix Representation

Decimal	508653
Binary	1111100001011101101 (19 bits)
Octal	0o1741355
Hexadecimal	0x7C2ED

Divisor Catalog (8)

1 3 9 27 18,839 56,517 169,551 508,653

Collatz Trajectory (164 steps to reach 1)

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

508,653 1,525,960 762,980 381,490 190,745 572,236 286,118 143,059 429,178 214,589 643,768 321,884 160,942 80,471 241,414 120,707 362,122 181,061 543,184 271,592 135,796 67,898 33,949 101,848 50,924 25,462 12,731 38,194 19,097 57,292 28,646 14,323 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366

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