4,272,440

2³ × 5 × 17 × 61 × 103

Starting at 4,272,440, the Collatz iteration reaches 1 after 123 steps. The first transition is 2136220; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 61 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,445,760

Proper Divisor Sum 6,173,320

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4272419 ← → #4272449

Radix Representation

Decimal	4272440
Binary	10000010011000100111000 (23 bits)
Octal	0o20230470
Hexadecimal	0x413138

Divisor Catalog (60 of 64)

1 2 4 5 8 10 17 20 34 40 61 68 85 103 122 136 170 206 244 305 340 412 488 515 610 680 824 1,030 1,037 1,220 1,751 2,060 2,074 2,440 3,502 4,120 4,148 5,185 6,283 7,004 8,296 8,755 10,370 12,566 14,008 17,510 20,740 25,132 31,415 35,020 41,480 50,264 62,830 70,040 106,811 125,660 213,622 251,320 427,244 534,055

Collatz Trajectory (123 steps to reach 1)

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

4,272,440 2,136,220 1,068,110 534,055 1,602,166 801,083 2,403,250 1,201,625 3,604,876 1,802,438 901,219 2,703,658 1,351,829 4,055,488 2,027,744 1,013,872 506,936 253,468 126,734 63,367 190,102 95,051 285,154 142,577 427,732 213,866 106,933 320,800 160,400 80,200 40,100 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754

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