2,364,180

2² × 3 × 5 × 7 × 13 × 433

Starting at 2,364,180, the Collatz iteration reaches 1 after 99 steps. The first transition is 1182090; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 13 × 433

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,166,144

Proper Divisor Sum 5,801,964

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2364179 ← → #2364191

Radix Representation

Decimal	2364180
Binary	1001000001001100010100 (22 bits)
Octal	0o11011424
Hexadecimal	0x241314

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 433 455 546 780 866 910 1,092 1,299 1,365 1,732 1,820 2,165 2,598 2,730 3,031 4,330 5,196 5,460 5,629 6,062 6,495

Collatz Trajectory (99 steps to reach 1)

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

2,364,180 1,182,090 591,045 1,773,136 886,568 443,284 221,642 110,821 332,464 166,232 83,116 41,558 20,779 62,338 31,169 93,508 46,754 23,377 70,132 35,066 17,533 52,600 26,300 13,150 6,575 19,726 9,863 29,590 14,795 44,386 22,193 66,580 33,290 16,645 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418

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