3,451,728

2⁴ × 3 × 7 × 10273

Starting at 3,451,728, the Collatz iteration reaches 1 after 53 steps. The first transition is 1725864; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 10273

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 10,191,808

Proper Divisor Sum 6,740,080

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3451699 ← → #3451759

Radix Representation

Decimal	3451728
Binary	1101001010101101010000 (22 bits)
Octal	0o15125520
Hexadecimal	0x34AB50

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 10,273 20,546 30,819 41,092 61,638 71,911 82,184 123,276 143,822 164,368 215,733 246,552 287,644 431,466 493,104 575,288 862,932 1,150,576 1,725,864 3,451,728

Collatz Trajectory (53 steps to reach 1)

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

3,451,728 1,725,864 862,932 431,466 215,733 647,200 323,600 161,800 80,900 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

← Previous Integer #3,451,727 Browse Full Index Next Integer #3,451,729 →