4,342,464

2⁶ × 3³ × 7 × 359

Starting at 4,342,464, the Collatz iteration reaches 1 after 92 steps. The first transition is 2171232; the starting value is even with 112 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 7 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 14,630,400

Proper Divisor Sum 10,287,936

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4342453 ← → #4342487

Radix Representation

Decimal	4342464
Binary	10000100100001011000000 (23 bits)
Octal	0o20441300
Hexadecimal	0x4242C0

Divisor Catalog (60 of 112)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 359 378 432 448 504 576 672 718 756 864 1,008 1,077 1,344 1,436 1,512 1,728 2,016 2,154 2,513 2,872 3,024

Collatz Trajectory (92 steps to reach 1)

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

4,342,464 2,171,232 1,085,616 542,808 271,404 135,702 67,851 203,554 101,777 305,332 152,666 76,333 229,000 114,500 57,250 28,625 85,876 42,938 21,469 64,408 32,204 16,102 8,051 24,154 12,077 36,232 18,116 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

← Previous Integer #4,342,463 Browse Full Index Next Integer #4,342,465 →