2,259,720

2³ × 3² × 5 × 6277

Starting at 2,259,720, the Collatz iteration reaches 1 after 86 steps. The first transition is 1129860; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 6277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,345,260

Proper Divisor Sum 5,085,540

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2259707 ← → #2259731

Radix Representation

Decimal	2259720
Binary	1000100111101100001000 (22 bits)
Octal	0o10475410
Hexadecimal	0x227B08

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6,277 12,554 18,831 25,108 31,385 37,662 50,216 56,493 62,770 75,324 94,155 112,986 125,540 150,648 188,310 225,972 251,080 282,465 376,620 451,944 564,930 753,240 1,129,860 2,259,720

Collatz Trajectory (86 steps to reach 1)

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

2,259,720 1,129,860 564,930 282,465 847,396 423,698 211,849 635,548 317,774 158,887 476,662 238,331 714,994 357,497 1,072,492 536,246 268,123 804,370 402,185 1,206,556 603,278 301,639 904,918 452,459 1,357,378 678,689 2,036,068 1,018,034 509,017 1,527,052 763,526 381,763 1,145,290 572,645 1,717,936 858,968 429,484 214,742 107,371 322,114 161,057 483,172 241,586 120,793 362,380 181,190 90,595 271,786 135,893 407,680 203,840 101,920 50,960 25,480 12,740 6,370 3,185 9,556 4,778 2,389

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