λ
Prime Ledger

739,946

2 × 89 × 4157
Deficient Even Composite

739,946 has the prime decomposition 2 × 89 × 4157. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 89 × 4157
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,122,660
Proper Divisor Sum 382,714
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #739943 ← → #739951

Radix Representation

Decimal 739946
Binary 10110100101001101010 (20 bits)
Octal 0o2645152
Hexadecimal 0xB4A6A

Divisor Catalog (8)

1 2 89 178 4,157 8,314 369,973 739,946

Collatz Trajectory (74 steps to reach 1)

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

739,946 369,973 1,109,920 554,960 277,480 138,740 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22

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