1,233,729

3² × 7 × 19583

Starting at 1,233,729, the Collatz iteration reaches 1 after 173 steps. The first transition is 3701188; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 19583

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,036,736

Proper Divisor Sum 803,007

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1233721 ← → #1233751

Radix Representation

Decimal	1233729
Binary	100101101001101000001 (21 bits)
Octal	0o4551501
Hexadecimal	0x12D341

Divisor Catalog (12)

1 3 7 9 21 63 19,583 58,749 137,081 176,247 411,243 1,233,729

Collatz Trajectory (173 steps to reach 1)

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

1,233,729 3,701,188 1,850,594 925,297 2,775,892 1,387,946 693,973 2,081,920 1,040,960 520,480 260,240 130,120 65,060 32,530 16,265 48,796 24,398 12,199 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218

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