λ
Harmonic Matrix

720,716

22 × 180179
Deficient Even Composite

720,716 has digital root 5. The neighboring primes are 720703 and 720743; its proper-divisor sum differs from the starting integer by -180,172.

Prime Factor Structure

Factorization String 2^2 × 180179
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,261,260
Proper Divisor Sum 540,544
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #720703 ← → #720743

Radix Representation

Decimal 720716
Binary 10101111111101001100 (20 bits)
Octal 0o2577514
Hexadecimal 0xAFF4C

Divisor Catalog (6)

1 2 4 180,179 360,358 720,716

Collatz Trajectory (66 steps to reach 1)

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

720,716 360,358 180,179 540,538 270,269 810,808 405,404 202,702 101,351 304,054 152,027 456,082 228,041 684,124 342,062 171,031 513,094 256,547 769,642 384,821 1,154,464 577,232 288,616 144,308 72,154 36,077 108,232 54,116 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128

More profiles

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