27,062

2 × 7 × 1933

Starting at 27,062, the Collatz iteration reaches 1 after 139 steps. The first transition is 13531; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 1933

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 46,416

Proper Divisor Sum 19,354

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #27061 ← → #27067

Radix Representation

Decimal	27062
Binary	110100110110110 (15 bits)
Octal	0o64666
Hexadecimal	0x69B6

Divisor Catalog (8)

1 2 7 14 1,933 3,866 13,531 27,062

Collatz Trajectory (139 steps to reach 1)

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

27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

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