344,121

3 × 251 × 457

344,121 factors as 3 × 251 × 457. Its 8 positive divisors give a proper-divisor sum of 117,543, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3 × 251 × 457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 461,664

Proper Divisor Sum 117,543

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #344117 ← → #344153

Radix Representation

Decimal	344121
Binary	1010100000000111001 (19 bits)
Octal	0o1240071
Hexadecimal	0x54039

Divisor Catalog (8)

1 3 251 457 753 1,371 114,707 344,121

Collatz Trajectory (184 steps to reach 1)

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

344,121 1,032,364 516,182 258,091 774,274 387,137 1,161,412 580,706 290,353 871,060 435,530 217,765 653,296 326,648 163,324 81,662 40,831 122,494 61,247 183,742 91,871 275,614 137,807 413,422 206,711 620,134 310,067 930,202 465,101 1,395,304 697,652 348,826 174,413 523,240 261,620 130,810 65,405 196,216 98,108 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781 248,344 124,172 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194 13,097

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