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Atlas › Integer Profiles › Node 5,986,280

5,986,280

23 × 5 × 109 × 1373
Abundant Even Composite

5,986,280 factors as 2^3 × 5 × 109 × 1373. Its 32 positive divisors give a proper-divisor sum of 7,616,320, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 109 × 1373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,602,600
Proper Divisor Sum 7,616,320
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5986271 ← → #5986291

Radix Representation

Decimal 5986280
Binary 10110110101011111101000 (23 bits)
Octal 0o26653750
Hexadecimal 0x5B57E8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 109 218 436 545 872 1,090 1,373 2,180 2,746 4,360 5,492 6,865 10,984 13,730 27,460 54,920 149,657 299,314 598,628 748,285 1,197,256 1,496,570 2,993,140 5,986,280

Collatz Trajectory (113 steps to reach 1)

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

5,986,280 2,993,140 1,496,570 748,285 2,244,856 1,122,428 561,214 280,607 841,822 420,911 1,262,734 631,367 1,894,102 947,051 2,841,154 1,420,577 4,261,732 2,130,866 1,065,433 3,196,300 1,598,150 799,075 2,397,226 1,198,613 3,595,840 1,797,920 898,960 449,480 224,740 112,370 56,185 168,556 84,278 42,139 126,418 63,209 189,628 94,814 47,407 142,222 71,111 213,334 106,667 320,002 160,001 480,004 240,002 120,001 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970

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