λ
Harmonic Matrix

720,269

11 × 65479
Deficient Odd Composite

720,269 has digital root 8. The neighboring primes are 720257 and 720281; its proper-divisor sum differs from the starting integer by -654,778.

Prime Factor Structure

Factorization String 11 × 65479
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 785,760
Proper Divisor Sum 65,491
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #720257 ← → #720281

Radix Representation

Decimal 720269
Binary 10101111110110001101 (20 bits)
Octal 0o2576615
Hexadecimal 0xAFD8D

Divisor Catalog (4)

1 11 65,479 720,269

Collatz Trajectory (92 steps to reach 1)

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

720,269 2,160,808 1,080,404 540,202 270,101 810,304 405,152 202,576 101,288 50,644 25,322 12,661 37,984 18,992 9,496 4,748 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 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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