4,581,210

2 × 3 × 5 × 79 × 1933

Starting at 4,581,210, the Collatz iteration reaches 1 after 162 steps. The first transition is 2290605; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 79 × 1933

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,139,840

Proper Divisor Sum 6,558,630

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4581193 ← → #4581221

Radix Representation

Decimal	4581210
Binary	10001011110011101011010 (23 bits)
Octal	0o21363532
Hexadecimal	0x45E75A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 79 158 237 395 474 790 1,185 1,933 2,370 3,866 5,799 9,665 11,598 19,330 28,995 57,990 152,707 305,414 458,121 763,535 916,242 1,527,070 2,290,605 4,581,210

Collatz Trajectory (162 steps to reach 1)

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

4,581,210 2,290,605 6,871,816 3,435,908 1,717,954 858,977 2,576,932 1,288,466 644,233 1,932,700 966,350 483,175 1,449,526 724,763 2,174,290 1,087,145 3,261,436 1,630,718 815,359 2,446,078 1,223,039 3,669,118 1,834,559 5,503,678 2,751,839 8,255,518 4,127,759 12,383,278 6,191,639 18,574,918 9,287,459 27,862,378 13,931,189 41,793,568 20,896,784 10,448,392 5,224,196 2,612,098 1,306,049 3,918,148 1,959,074 979,537 2,938,612 1,469,306 734,653 2,203,960 1,101,980 550,990 275,495 826,486 413,243 1,239,730 619,865 1,859,596 929,798 464,899 1,394,698 697,349 2,092,048 1,046,024

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