λ
Harmonic Matrix

729,770

2 × 5 × 72977
Deficient Even Composite

729,770 has digital root 5. The neighboring primes are 729761 and 729779; its proper-divisor sum differs from the starting integer by -145,936.

Prime Factor Structure

Factorization String 2 × 5 × 72977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,313,604
Proper Divisor Sum 583,834
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #729761 ← → #729779

Radix Representation

Decimal 729770
Binary 10110010001010101010 (20 bits)
Octal 0o2621252
Hexadecimal 0xB22AA

Divisor Catalog (8)

1 2 5 10 72,977 145,954 364,885 729,770

Collatz Trajectory (35 steps to reach 1)

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

729,770 364,885 1,094,656 547,328 273,664 136,832 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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