λ
Integer Codex

429,577

29 × 14813
Deficient Odd Composite

For 429,577, the 4 positive divisors have a total of 444,420. Removing 429,577 leaves 14,843, which gives the deficient classification.

Prime Factor Structure

Factorization String 29 × 14813
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 444,420
Proper Divisor Sum 14,843
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #429563 ← → #429581

Radix Representation

Decimal 429577
Binary 1101000111000001001 (19 bits)
Octal 0o1507011
Hexadecimal 0x68E09

Divisor Catalog (4)

1 29 14,813 429,577

Collatz Trajectory (50 steps to reach 1)

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

429,577 1,288,732 644,366 322,183 966,550 483,275 1,449,826 724,913 2,174,740 1,087,370 543,685 1,631,056 815,528 407,764 203,882 101,941 305,824 152,912 76,456 38,228 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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