λ
Match Zalai

724,954

2 × 131 × 2767
Deficient Even Composite

724,954 factors as 2 × 131 × 2767. Its 8 positive divisors give a proper-divisor sum of 371,174, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 131 × 2767
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,096,128
Proper Divisor Sum 371,174
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #724949 ← → #724961

Radix Representation

Decimal 724954
Binary 10110000111111011010 (20 bits)
Octal 0o2607732
Hexadecimal 0xB0FDA

Divisor Catalog (8)

1 2 131 262 2,767 5,534 362,477 724,954

Collatz Trajectory (118 steps to reach 1)

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

724,954 362,477 1,087,432 543,716 271,858 135,929 407,788 203,894 101,947 305,842 152,921 458,764 229,382 114,691 344,074 172,037 516,112 258,056 129,028 64,514 32,257 96,772 48,386 24,193 72,580 36,290 18,145 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767

More profiles

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