4,617,360

2⁴ × 3² × 5 × 11² × 53

Starting at 4,617,360, the Collatz iteration reaches 1 after 100 steps. The first transition is 2308680; the starting value is even with 180 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 11^2 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 17,366,076

Proper Divisor Sum 12,748,716

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4617359 ← → #4617391

Radix Representation

Decimal	4617360
Binary	10001100111010010010000 (23 bits)
Octal	0o21472220
Hexadecimal	0x467490

Divisor Catalog (60 of 180)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 53 55 60 66 72 80 88 90 99 106 110 120 121 132 144 159 165 176 180 198 212 220 240 242 264 265 318 330 360 363 396 424 440 477 484 495

Collatz Trajectory (100 steps to reach 1)

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

4,617,360 2,308,680 1,154,340 577,170 288,585 865,756 432,878 216,439 649,318 324,659 973,978 486,989 1,460,968 730,484 365,242 182,621 547,864 273,932 136,966 68,483 205,450 102,725 308,176 154,088 77,044 38,522 19,261 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814

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