λ
Harmonic Matrix

746,437

43 × 17359
Deficient Odd Composite

746,437 has digital root 4. The neighboring primes are 746429 and 746477; its proper-divisor sum differs from the starting integer by -729,034.

Prime Factor Structure

Factorization String 43 × 17359
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 763,840
Proper Divisor Sum 17,403
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #746429 ← → #746477

Radix Representation

Decimal 746437
Binary 10110110001111000101 (20 bits)
Octal 0o2661705
Hexadecimal 0xB63C5

Divisor Catalog (4)

1 43 17,359 746,437

Collatz Trajectory (56 steps to reach 1)

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

746,437 2,239,312 1,119,656 559,828 279,914 139,957 419,872 209,936 104,968 52,484 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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