5,437,628

2² × 7² × 27743

5,437,628 has digital root 8. The neighboring primes are 5437613 and 5437639; its proper-divisor sum differs from the starting integer by 194,600.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 27743

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 11,069,856

Proper Divisor Sum 5,632,228

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5437613 ← → #5437639

Radix Representation

Decimal	5437628
Binary	10100101111100010111100 (23 bits)
Octal	0o24574274
Hexadecimal	0x52F8BC

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 27,743 55,486 110,972 194,201 388,402 776,804 1,359,407 2,718,814 5,437,628

Collatz Trajectory (325 steps to reach 1)

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

5,437,628 2,718,814 1,359,407 4,078,222 2,039,111 6,117,334 3,058,667 9,176,002 4,588,001 13,764,004 6,882,002 3,441,001 10,323,004 5,161,502 2,580,751 7,742,254 3,871,127 11,613,382 5,806,691 17,420,074 8,710,037 26,130,112 13,065,056 6,532,528 3,266,264 1,633,132 816,566 408,283 1,224,850 612,425 1,837,276 918,638 459,319 1,377,958 688,979 2,066,938 1,033,469 3,100,408 1,550,204 775,102 387,551 1,162,654 581,327 1,743,982 871,991 2,615,974 1,307,987 3,923,962 1,961,981 5,885,944 2,942,972 1,471,486 735,743 2,207,230 1,103,615 3,310,846 1,655,423 4,966,270 2,483,135 7,449,406

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