4,575,360

2⁷ × 3 × 5 × 2383

Starting at 4,575,360, the Collatz iteration reaches 1 after 131 steps. The first transition is 2287680; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 2383

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 14,590,080

Proper Divisor Sum 10,014,720

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4575341 ← → #4575377

Radix Representation

Decimal	4575360
Binary	10001011101000010000000 (23 bits)
Octal	0o21350200
Hexadecimal	0x45D080

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1,920 2,383 4,766 7,149 9,532 11,915 14,298 19,064 23,830 28,596 35,745 38,128 47,660 57,192 71,490 76,256 95,320 114,384 142,980 152,512 190,640 228,768 285,960 305,024 381,280 457,536 571,920 762,560 915,072

Collatz Trajectory (131 steps to reach 1)

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

4,575,360 2,287,680 1,143,840 571,920 285,960 142,980 71,490 35,745 107,236 53,618 26,809 80,428 40,214 20,107 60,322 30,161 90,484 45,242 22,621 67,864 33,932 16,966 8,483 25,450 12,725 38,176 19,088 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846

← Previous Integer #4,575,359 Browse Full Index Next Integer #4,575,361 →