508,921

7 × 23 × 29 × 109

For 508,921, the 16 positive divisors have a total of 633,600. Removing 508,921 leaves 124,679, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 23 × 29 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 633,600

Proper Divisor Sum 124,679

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #508919 ← → #508931

Radix Representation

Decimal	508921
Binary	1111100001111111001 (19 bits)
Octal	0o1741771
Hexadecimal	0x7C3F9

Divisor Catalog (16)

1 7 23 29 109 161 203 667 763 2,507 3,161 4,669 17,549 22,127 72,703 508,921

Collatz Trajectory (133 steps to reach 1)

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

508,921 1,526,764 763,382 381,691 1,145,074 572,537 1,717,612 858,806 429,403 1,288,210 644,105 1,932,316 966,158 483,079 1,449,238 724,619 2,173,858 1,086,929 3,260,788 1,630,394 815,197 2,445,592 1,222,796 611,398 305,699 917,098 458,549 1,375,648 687,824 343,912 171,956 85,978 42,989 128,968 64,484 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230

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