λ
Prime Ledger

722,978

2 × 193 × 1873
Deficient Even Composite

722,978 has the prime decomposition 2 × 193 × 1873. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 193 × 1873
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,090,668
Proper Divisor Sum 367,690
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #722977 ← → #722983

Radix Representation

Decimal 722978
Binary 10110000100000100010 (20 bits)
Octal 0o2604042
Hexadecimal 0xB0822

Divisor Catalog (8)

1 2 193 386 1,873 3,746 361,489 722,978

Collatz Trajectory (92 steps to reach 1)

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

722,978 361,489 1,084,468 542,234 271,117 813,352 406,676 203,338 101,669 305,008 152,504 76,252 38,126 19,063 57,190 28,595 85,786 42,893 128,680 64,340 32,170 16,085 48,256 24,128 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 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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