4,465,580

2² × 5 × 7 × 167 × 191

Starting at 4,465,580, the Collatz iteration reaches 1 after 136 steps. The first transition is 2232790; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 167 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,838,016

Proper Divisor Sum 6,372,436

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4465561 ← → #4465603

Radix Representation

Decimal	4465580
Binary	10001000010001110101100 (23 bits)
Octal	0o21021654
Hexadecimal	0x4423AC

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 140 167 191 334 382 668 764 835 955 1,169 1,337 1,670 1,910 2,338 2,674 3,340 3,820 4,676 5,348 5,845 6,685 11,690 13,370 23,380 26,740 31,897 63,794 127,588 159,485 223,279 318,970 446,558 637,940 893,116 1,116,395 2,232,790 4,465,580

Collatz Trajectory (136 steps to reach 1)

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

4,465,580 2,232,790 1,116,395 3,349,186 1,674,593 5,023,780 2,511,890 1,255,945 3,767,836 1,883,918 941,959 2,825,878 1,412,939 4,238,818 2,119,409 6,358,228 3,179,114 1,589,557 4,768,672 2,384,336 1,192,168 596,084 298,042 149,021 447,064 223,532 111,766 55,883 167,650 83,825 251,476 125,738 62,869 188,608 94,304 47,152 23,576 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790

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