29,519

7 × 4217

Starting at 29,519, the Collatz iteration reaches 1 after 46 steps. The first transition is 88558; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 4217

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 33,744

Proper Divisor Sum 4,225

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #29501 ← → #29527

Radix Representation

Decimal	29519
Binary	111001101001111 (15 bits)
Octal	0o71517
Hexadecimal	0x734F

Divisor Catalog (4)

1 7 4,217 29,519

Collatz Trajectory (46 steps to reach 1)

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

29,519 88,558 44,279 132,838 66,419 199,258 99,629 298,888 149,444 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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