λ
Harmonic Matrix

706,531

72 × 14419
Deficient Odd Composite

706,531 has digital root 4. The neighboring primes are 706523 and 706547; its proper-divisor sum differs from the starting integer by -591,122.

Prime Factor Structure

Factorization String 7^2 × 14419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 821,940
Proper Divisor Sum 115,409
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #706523 ← → #706547

Radix Representation

Decimal 706531
Binary 10101100011111100011 (20 bits)
Octal 0o2543743
Hexadecimal 0xAC7E3

Divisor Catalog (6)

1 7 49 14,419 100,933 706,531

Collatz Trajectory (149 steps to reach 1)

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

706,531 2,119,594 1,059,797 3,179,392 1,589,696 794,848 397,424 198,712 99,356 49,678 24,839 74,518 37,259 111,778 55,889 167,668 83,834 41,917 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806 23,903 71,710 35,855 107,566 53,783 161,350

More profiles

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