124,461

3² × 13829

124,461 has digital root 9. The neighboring primes are 124459 and 124471; its proper-divisor sum differs from the starting integer by -69,132.

Prime Factor Structure

Factorization String 3^2 × 13829

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 179,790

Proper Divisor Sum 55,329

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #124459 ← → #124471

Radix Representation

Decimal	124461
Binary	11110011000101101 (17 bits)
Octal	0o363055
Hexadecimal	0x1E62D

Divisor Catalog (6)

1 3 9 13,829 41,487 124,461

Collatz Trajectory (61 steps to reach 1)

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

124,461 373,384 186,692 93,346 46,673 140,020 70,010 35,005 105,016 52,508 26,254 13,127 39,382 19,691 59,074 29,537 88,612 44,306 22,153 66,460 33,230 16,615 49,846 24,923 74,770 37,385 112,156 56,078 28,039 84,118 42,059 126,178 63,089 189,268 94,634 47,317 141,952 70,976 35,488 17,744 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4

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