λ
Integer Codex

421,035

3 × 5 × 28069
Deficient Odd Composite

For 421,035, the 8 positive divisors have a total of 673,680. Removing 421,035 leaves 252,645, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 28069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 673,680
Proper Divisor Sum 252,645
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #421033 ← → #421037

Radix Representation

Decimal 421035
Binary 1100110110010101011 (19 bits)
Octal 0o1466253
Hexadecimal 0x66CAB

Divisor Catalog (8)

1 3 5 15 28,069 84,207 140,345 421,035

Collatz Trajectory (81 steps to reach 1)

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

421,035 1,263,106 631,553 1,894,660 947,330 473,665 1,420,996 710,498 355,249 1,065,748 532,874 266,437 799,312 399,656 199,828 99,914 49,957 149,872 74,936 37,468 18,734 9,367 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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