2,272,960

2⁶ × 5 × 7103

Starting at 2,272,960, the Collatz iteration reaches 1 after 179 steps. The first transition is 1136480; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5 × 7103

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 5,413,248

Proper Divisor Sum 3,140,288

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2272957 ← → #2272973

Radix Representation

Decimal	2272960
Binary	1000101010111011000000 (22 bits)
Octal	0o10527300
Hexadecimal	0x22AEC0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 7,103 14,206 28,412 35,515 56,824 71,030 113,648 142,060 227,296 284,120 454,592 568,240 1,136,480 2,272,960

Collatz Trajectory (179 steps to reach 1)

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

2,272,960 1,136,480 568,240 284,120 142,060 71,030 35,515 106,546 53,273 159,820 79,910 39,955 119,866 59,933 179,800 89,900 44,950 22,475 67,426 33,713 101,140 50,570 25,285 75,856 37,928 18,964 9,482 4,741 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458

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