1,219,920

2⁴ × 3 × 5 × 13 × 17 × 23

Starting at 1,219,920, the Collatz iteration reaches 1 after 59 steps. The first transition is 609960; the starting value is even with 160 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 17 × 23

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 4,499,712

Proper Divisor Sum 3,279,792

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1219919 ← → #1219931

Radix Representation

Decimal	1219920
Binary	100101001110101010000 (21 bits)
Octal	0o4516520
Hexadecimal	0x129D50

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 13 15 16 17 20 23 24 26 30 34 39 40 46 48 51 52 60 65 68 69 78 80 85 92 102 104 115 120 130 136 138 156 170 184 195 204 208 221 230 240 255 260 272 276 299 312 340 345 368 390 391

Collatz Trajectory (59 steps to reach 1)

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

1,219,920 609,960 304,980 152,490 76,245 228,736 114,368 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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