4,485,240

2³ × 3³ × 5 × 4153

Starting at 4,485,240, the Collatz iteration reaches 1 after 87 steps. The first transition is 2242620; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 4153

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 14,954,400

Proper Divisor Sum 10,469,160

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4485223 ← → #4485301

Radix Representation

Decimal	4485240
Binary	10001000111000001111000 (23 bits)
Octal	0o21070170
Hexadecimal	0x447078

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1,080 4,153 8,306 12,459 16,612 20,765 24,918 33,224 37,377 41,530 49,836 62,295 74,754 83,060 99,672 112,131 124,590 149,508 166,120 186,885 224,262 249,180 299,016 373,770 448,524 498,360 560,655 747,540 897,048

Collatz Trajectory (87 steps to reach 1)

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

4,485,240 2,242,620 1,121,310 560,655 1,681,966 840,983 2,522,950 1,261,475 3,784,426 1,892,213 5,676,640 2,838,320 1,419,160 709,580 354,790 177,395 532,186 266,093 798,280 399,140 199,570 99,785 299,356 149,678 74,839 224,518 112,259 336,778 168,389 505,168 252,584 126,292 63,146 31,573 94,720 47,360 23,680 11,840 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134

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