1,301,133

3 × 23 × 109 × 173

Starting at 1,301,133, the Collatz iteration reaches 1 after 230 steps. The first transition is 3903400; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 109 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,837,440

Proper Divisor Sum 536,307

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1301123 ← → #1301147

Radix Representation

Decimal	1301133
Binary	100111101101010001101 (21 bits)
Octal	0o4755215
Hexadecimal	0x13DA8D

Divisor Catalog (16)

1 3 23 69 109 173 327 519 2,507 3,979 7,521 11,937 18,857 56,571 433,711 1,301,133

Collatz Trajectory (230 steps to reach 1)

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

1,301,133 3,903,400 1,951,700 975,850 487,925 1,463,776 731,888 365,944 182,972 91,486 45,743 137,230 68,615 205,846 102,923 308,770 154,385 463,156 231,578 115,789 347,368 173,684 86,842 43,421 130,264 65,132 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255

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