λ
Integer Codex

274,429

37 × 7417
Deficient Odd Composite

For 274,429, the 4 positive divisors have a total of 281,884. Removing 274,429 leaves 7,455, which gives the deficient classification.

Prime Factor Structure

Factorization String 37 × 7417
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 281,884
Proper Divisor Sum 7,455
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #274423 ← → #274441

Radix Representation

Decimal 274429
Binary 1000010111111111101 (19 bits)
Octal 0o1027775
Hexadecimal 0x42FFD

Divisor Catalog (4)

1 37 7,417 274,429

Collatz Trajectory (145 steps to reach 1)

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

274,429 823,288 411,644 205,822 102,911 308,734 154,367 463,102 231,551 694,654 347,327 1,041,982 520,991 1,562,974 781,487 2,344,462 1,172,231 3,516,694 1,758,347 5,275,042 2,637,521 7,912,564 3,956,282 1,978,141 5,934,424 2,967,212 1,483,606 741,803 2,225,410 1,112,705 3,338,116 1,669,058 834,529 2,503,588 1,251,794 625,897 1,877,692 938,846 469,423 1,408,270 704,135 2,112,406 1,056,203 3,168,610 1,584,305 4,752,916 2,376,458 1,188,229 3,564,688 1,782,344 891,172 445,586 222,793 668,380 334,190 167,095 501,286 250,643 751,930 375,965

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