λ
Prime Ledger

722,014

2 × 47 × 7681
Deficient Even Composite

722,014 has the prime decomposition 2 × 47 × 7681. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 47 × 7681
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,106,208
Proper Divisor Sum 384,194
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #722011 ← → #722023

Radix Representation

Decimal 722014
Binary 10110000010001011110 (20 bits)
Octal 0o2602136
Hexadecimal 0xB045E

Divisor Catalog (8)

1 2 47 94 7,681 15,362 361,007 722,014

Collatz Trajectory (105 steps to reach 1)

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

722,014 361,007 1,083,022 541,511 1,624,534 812,267 2,436,802 1,218,401 3,655,204 1,827,602 913,801 2,741,404 1,370,702 685,351 2,056,054 1,028,027 3,084,082 1,542,041 4,626,124 2,313,062 1,156,531 3,469,594 1,734,797 5,204,392 2,602,196 1,301,098 650,549 1,951,648 975,824 487,912 243,956 121,978 60,989 182,968 91,484 45,742 22,871 68,614 34,307 102,922 51,461 154,384 77,192 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764

More profiles

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