5,626,872

2³ × 3² × 31 × 2521

5,626,872 has digital root 9. The neighboring primes are 5626871 and 5626877; its proper-divisor sum differs from the starting integer by 4,483,536.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 31 × 2521

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,737,280

Proper Divisor Sum 10,110,408

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5626871 ← → #5626877

Radix Representation

Decimal	5626872
Binary	10101011101101111111000 (23 bits)
Octal	0o25355770
Hexadecimal	0x55DBF8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1,116 2,232 2,521 5,042 7,563 10,084 15,126 20,168 22,689 30,252 45,378 60,504 78,151 90,756 156,302 181,512 234,453 312,604 468,906 625,208 703,359 937,812 1,406,718 1,875,624 2,813,436 5,626,872

Collatz Trajectory (351 steps to reach 1)

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

5,626,872 2,813,436 1,406,718 703,359 2,110,078 1,055,039 3,165,118 1,582,559 4,747,678 2,373,839 7,121,518 3,560,759 10,682,278 5,341,139 16,023,418 8,011,709 24,035,128 12,017,564 6,008,782 3,004,391 9,013,174 4,506,587 13,519,762 6,759,881 20,279,644 10,139,822 5,069,911 15,209,734 7,604,867 22,814,602 11,407,301 34,221,904 17,110,952 8,555,476 4,277,738 2,138,869 6,416,608 3,208,304 1,604,152 802,076 401,038 200,519 601,558 300,779 902,338 451,169 1,353,508 676,754 338,377 1,015,132 507,566 253,783 761,350 380,675 1,142,026 571,013 1,713,040 856,520 428,260 214,130

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