4,144,980

2² × 3 × 5 × 7 × 71 × 139

4,144,980 factors as 2^2 × 3 × 5 × 7 × 71 × 139. Its 96 positive divisors give a proper-divisor sum of 9,402,540, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 71 × 139

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,547,520

Proper Divisor Sum 9,402,540

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4144969 ← → #4144981

Radix Representation

Decimal	4144980
Binary	1111110011111101010100 (22 bits)
Octal	0o17637524
Hexadecimal	0x3F3F54

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 139 140 142 210 213 278 284 355 417 420 426 497 556 695 710 834 852 973 994 1,065 1,390 1,420 1,491 1,668 1,946 1,988 2,085 2,130 2,485 2,780 2,919 2,982 3,892 4,170 4,260 4,865 4,970 5,838

Collatz Trajectory (123 steps to reach 1)

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

4,144,980 2,072,490 1,036,245 3,108,736 1,554,368 777,184 388,592 194,296 97,148 48,574 24,287 72,862 36,431 109,294 54,647 163,942 81,971 245,914 122,957 368,872 184,436 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774

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