λ
Prime Ledger

722,741

19 × 38039
Deficient Odd Composite

722,741 has the prime decomposition 19 × 38039. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 19 × 38039
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 760,800
Proper Divisor Sum 38,059
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #722737 ← → #722749

Radix Representation

Decimal 722741
Binary 10110000011100110101 (20 bits)
Octal 0o2603465
Hexadecimal 0xB0735

Divisor Catalog (4)

1 19 38,039 722,741

Collatz Trajectory (92 steps to reach 1)

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

722,741 2,168,224 1,084,112 542,056 271,028 135,514 67,757 203,272 101,636 50,818 25,409 76,228 38,114 19,057 57,172 28,586 14,293 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

More profiles

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