λ
Integer Codex

74,402

2 × 37201
Deficient Even Composite

For 74,402, the 4 positive divisors have a total of 111,606. Removing 74,402 leaves 37,204, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 37201
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 111,606
Proper Divisor Sum 37,204
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #74383 ← → #74411

Radix Representation

Decimal 74402
Binary 10010001010100010 (17 bits)
Octal 0o221242
Hexadecimal 0x122A2

Divisor Catalog (4)

1 2 37,201 74,402

Collatz Trajectory (138 steps to reach 1)

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

74,402 37,201 111,604 55,802 27,901 83,704 41,852 20,926 10,463 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008

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