λ
Harmonic Matrix

230,729

230729
Deficient Odd Prime

230,729 has digital root 5. The neighboring primes are 230719 and 230743; its proper-divisor sum differs from the starting integer by -230,728.

Prime Factor Structure

Factorization String 230729
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 230,730
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #230719 ← → #230743

Radix Representation

Decimal 230729
Binary 111000010101001001 (18 bits)
Octal 0o702511
Hexadecimal 0x38549

Divisor Catalog (2)

Collatz Trajectory (168 steps to reach 1)

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

230,729 692,188 346,094 173,047 519,142 259,571 778,714 389,357 1,168,072 584,036 292,018 146,009 438,028 219,014 109,507 328,522 164,261 492,784 246,392 123,196 61,598 30,799 92,398 46,199 138,598 69,299 207,898 103,949 311,848 155,924 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

More profiles

← Previous Integer #230,728 Browse Full Index Next Integer #230,730 →