34,707

3 × 23 × 503

Starting at 34,707, the Collatz iteration reaches 1 after 54 steps. The first transition is 104122; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 48,384

Proper Divisor Sum 13,677

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #34703 ← → #34721

Radix Representation

Decimal	34707
Binary	1000011110010011 (16 bits)
Octal	0o103623
Hexadecimal	0x8793

Divisor Catalog (8)

1 3 23 69 503 1,509 11,569 34,707

Collatz Trajectory (54 steps to reach 1)

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

34,707 104,122 52,061 156,184 78,092 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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