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Atlas › Integer Profiles › Node 5,359,488

5,359,488

27 × 3 × 17 × 821
Abundant Even Composite

5,359,488 factors as 2^7 × 3 × 17 × 821. Its 64 positive divisors give a proper-divisor sum of 9,732,432, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 17 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,091,920
Proper Divisor Sum 9,732,432
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5359481 ← → #5359489

Radix Representation

Decimal 5359488
Binary 10100011100011110000000 (23 bits)
Octal 0o24343600
Hexadecimal 0x51C780

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 821 1,088 1,632 1,642 2,176 2,463 3,264 3,284 4,926 6,528 6,568 9,852 13,136 13,957 19,704 26,272 27,914 39,408 41,871 52,544 55,828 78,816 83,742 105,088 111,656 157,632 167,484 223,312 315,264 334,968 446,624 669,936 893,248

Collatz Trajectory (69 steps to reach 1)

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

5,359,488 2,679,744 1,339,872 669,936 334,968 167,484 83,742 41,871 125,614 62,807 188,422 94,211 282,634 141,317 423,952 211,976 105,988 52,994 26,497 79,492 39,746 19,873 59,620 29,810 14,905 44,716 22,358 11,179 33,538 16,769 50,308 25,154 12,577 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160

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