4,429,440

2⁷ × 3² × 5 × 769

Starting at 4,429,440, the Collatz iteration reaches 1 after 61 steps. The first transition is 2214720; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 769

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 15,315,300

Proper Divisor Sum 10,885,860

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4429429 ← → #4429457

Radix Representation

Decimal	4429440
Binary	10000111001011010000000 (23 bits)
Octal	0o20713200
Hexadecimal	0x439680

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 769 960 1,152 1,440 1,538 1,920 2,307 2,880 3,076 3,845 4,614 5,760 6,152 6,921 7,690 9,228 11,535 12,304

Collatz Trajectory (61 steps to reach 1)

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

4,429,440 2,214,720 1,107,360 553,680 276,840 138,420 69,210 34,605 103,816 51,908 25,954 12,977 38,932 19,466 9,733 29,200 14,600 7,300 3,650 1,825 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

← Previous Integer #4,429,439 Browse Full Index Next Integer #4,429,441 →