1,187,199

3² × 13 × 73 × 139

Starting at 1,187,199, the Collatz iteration reaches 1 after 191 steps. The first transition is 3561598; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 73 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,885,520

Proper Divisor Sum 698,321

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1187189 ← → #1187201

Radix Representation

Decimal	1187199
Binary	100100001110101111111 (21 bits)
Octal	0o4416577
Hexadecimal	0x121D7F

Divisor Catalog (24)

1 3 9 13 39 73 117 139 219 417 657 949 1,251 1,807 2,847 5,421 8,541 10,147 16,263 30,441 91,323 131,911 395,733 1,187,199

Collatz Trajectory (191 steps to reach 1)

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

1,187,199 3,561,598 1,780,799 5,342,398 2,671,199 8,013,598 4,006,799 12,020,398 6,010,199 18,030,598 9,015,299 27,045,898 13,522,949 40,568,848 20,284,424 10,142,212 5,071,106 2,535,553 7,606,660 3,803,330 1,901,665 5,704,996 2,852,498 1,426,249 4,278,748 2,139,374 1,069,687 3,209,062 1,604,531 4,813,594 2,406,797 7,220,392 3,610,196 1,805,098 902,549 2,707,648 1,353,824 676,912 338,456 169,228 84,614 42,307 126,922 63,461 190,384 95,192 47,596 23,798 11,899 35,698 17,849 53,548 26,774 13,387 40,162 20,081 60,244 30,122 15,061 45,184

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