6,180,720

2⁴ × 3 × 5 × 7 × 13 × 283

Starting at 6,180,720, the Collatz iteration reaches 1 after 196 steps. The first transition is 3090360; the starting value is even with 160 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 13 × 283

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 23,665,152

Proper Divisor Sum 17,484,432

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6180689 ← → #6180731

Radix Representation

Decimal	6180720
Binary	10111100100111101110000 (23 bits)
Octal	0o27447560
Hexadecimal	0x5E4F70

Divisor Catalog (60 of 160)

1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 283 312 336 364 390 420 455 520 546 560

Collatz Trajectory (196 steps to reach 1)

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

6,180,720 3,090,360 1,545,180 772,590 386,295 1,158,886 579,443 1,738,330 869,165 2,607,496 1,303,748 651,874 325,937 977,812 488,906 244,453 733,360 366,680 183,340 91,670 45,835 137,506 68,753 206,260 103,130 51,565 154,696 77,348 38,674 19,337 58,012 29,006 14,503 43,510 21,755 65,266 32,633 97,900 48,950 24,475 73,426 36,713 110,140 55,070 27,535 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208

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