7,564,436

2² × 11² × 15629

7,564,436 has the prime decomposition 2^2 × 11^2 × 15629. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 15629

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 14,551,530

Proper Divisor Sum 6,987,094

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7564429 ← → #7564457

Radix Representation

Decimal	7564436
Binary	11100110110110010010100 (23 bits)
Octal	0o34666224
Hexadecimal	0x736C94

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 15,629 31,258 62,516 171,919 343,838 687,676 1,891,109 3,782,218 7,564,436

Collatz Trajectory (129 steps to reach 1)

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

7,564,436 3,782,218 1,891,109 5,673,328 2,836,664 1,418,332 709,166 354,583 1,063,750 531,875 1,595,626 797,813 2,393,440 1,196,720 598,360 299,180 149,590 74,795 224,386 112,193 336,580 168,290 84,145 252,436 126,218 63,109 189,328 94,664 47,332 23,666 11,833 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336

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