λ
Harmonic Matrix

5,027,976

23 × 32 × 69833
Abundant Even Composite

5,027,976 has digital root 9. The neighboring primes are 5027969 and 5027977; its proper-divisor sum differs from the starting integer by 3,561,678.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 69833
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,617,630
Proper Divisor Sum 8,589,654
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5027969 ← → #5027977

Radix Representation

Decimal 5027976
Binary 10011001011100010001000 (23 bits)
Octal 0o23134210
Hexadecimal 0x4CB888

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 69,833 139,666 209,499 279,332 418,998 558,664 628,497 837,996 1,256,994 1,675,992 2,513,988 5,027,976

Collatz Trajectory (113 steps to reach 1)

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

5,027,976 2,513,988 1,256,994 628,497 1,885,492 942,746 471,373 1,414,120 707,060 353,530 176,765 530,296 265,148 132,574 66,287 198,862 99,431 298,294 149,147 447,442 223,721 671,164 335,582 167,791 503,374 251,687 755,062 377,531 1,132,594 566,297 1,698,892 849,446 424,723 1,274,170 637,085 1,911,256 955,628 477,814 238,907 716,722 358,361 1,075,084 537,542 268,771 806,314 403,157 1,209,472 604,736 302,368 151,184 75,592 37,796 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894

More profiles

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