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Atlas › Integer Profiles › Node 3,044,480

3,044,480

27 × 5 × 67 × 71
Abundant Even Composite

3,044,480 factors as 2^7 × 5 × 67 × 71. Its 64 positive divisors give a proper-divisor sum of 4,446,400, so this integer is abundant. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 67 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,490,880
Proper Divisor Sum 4,446,400
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3044473 ← → #3044491

Radix Representation

Decimal 3044480
Binary 1011100111010010000000 (22 bits)
Octal 0o13472200
Hexadecimal 0x2E7480

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 32 40 64 67 71 80 128 134 142 160 268 284 320 335 355 536 568 640 670 710 1,072 1,136 1,340 1,420 2,144 2,272 2,680 2,840 4,288 4,544 4,757 5,360 5,680 8,576 9,088 9,514 10,720 11,360 19,028 21,440 22,720 23,785 38,056 42,880 45,440 47,570 76,112 95,140 152,224 190,280 304,448 380,560

Collatz Trajectory (226 steps to reach 1)

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

3,044,480 1,522,240 761,120 380,560 190,280 95,140 47,570 23,785 71,356 35,678 17,839 53,518 26,759 80,278 40,139 120,418 60,209 180,628 90,314 45,157 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464

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