34,215

3 × 5 × 2281

Starting at 34,215, the Collatz iteration reaches 1 after 98 steps. The first transition is 102646; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 2281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 54,768

Proper Divisor Sum 20,553

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #34213 ← → #34217

Radix Representation

Decimal	34215
Binary	1000010110100111 (16 bits)
Octal	0o102647
Hexadecimal	0x85A7

Divisor Catalog (8)

1 3 5 15 2,281 6,843 11,405 34,215

Collatz Trajectory (98 steps to reach 1)

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

34,215 102,646 51,323 153,970 76,985 230,956 115,478 57,739 173,218 86,609 259,828 129,914 64,957 194,872 97,436 48,718 24,359 73,078 36,539 109,618 54,809 164,428 82,214 41,107 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814

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