1,213,215

3 × 5 × 29 × 2789

Starting at 1,213,215, the Collatz iteration reaches 1 after 235 steps. The first transition is 3639646; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 2789

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,008,800

Proper Divisor Sum 795,585

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1213213 ← → #1213241

Radix Representation

Decimal	1213215
Binary	100101000001100011111 (21 bits)
Octal	0o4501437
Hexadecimal	0x12831F

Divisor Catalog (16)

1 3 5 15 29 87 145 435 2,789 8,367 13,945 41,835 80,881 242,643 404,405 1,213,215

Collatz Trajectory (235 steps to reach 1)

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

1,213,215 3,639,646 1,819,823 5,459,470 2,729,735 8,189,206 4,094,603 12,283,810 6,141,905 18,425,716 9,212,858 4,606,429 13,819,288 6,909,644 3,454,822 1,727,411 5,182,234 2,591,117 7,773,352 3,886,676 1,943,338 971,669 2,915,008 1,457,504 728,752 364,376 182,188 91,094 45,547 136,642 68,321 204,964 102,482 51,241 153,724 76,862 38,431 115,294 57,647 172,942 86,471 259,414 129,707 389,122 194,561 583,684 291,842 145,921 437,764 218,882 109,441 328,324 164,162 82,081 246,244 123,122 61,561 184,684 92,342 46,171

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