122,754

2 × 3 × 41 × 499

Starting at 122,754, the Collatz iteration reaches 1 after 136 steps. The first transition is 61377; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 252,000

Proper Divisor Sum 129,246

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #122753 ← → #122761

Radix Representation

Decimal	122754
Binary	11101111110000010 (17 bits)
Octal	0o357602
Hexadecimal	0x1DF82

Divisor Catalog (16)

1 2 3 6 41 82 123 246 499 998 1,497 2,994 20,459 40,918 61,377 122,754

Collatz Trajectory (136 steps to reach 1)

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

122,754 61,377 184,132 92,066 46,033 138,100 69,050 34,525 103,576 51,788 25,894 12,947 38,842 19,421 58,264 29,132 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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