7,564,440

2³ × 3 × 5 × 13² × 373

7,564,440 is even and not a perfect square. Its factorization is 2^3 × 3 × 5 × 13^2 × 373 and its 96 divisors sum to 24,639,120.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13^2 × 373

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,639,120

Proper Divisor Sum 17,074,680

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7564429 ← → #7564457

Radix Representation

Decimal	7564440
Binary	11100110110110010011000 (23 bits)
Octal	0o34666230
Hexadecimal	0x736C98

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 373 390 507 520 676 746 780 845 1,014 1,119 1,352 1,492 1,560 1,690 1,865 2,028 2,238 2,535 2,984 3,380 3,730 4,056 4,476 4,849 5,070 5,595 6,760 7,460 8,952 9,698

Collatz Trajectory (129 steps to reach 1)

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

7,564,440 3,782,220 1,891,110 945,555 2,836,666 1,418,333 4,255,000 2,127,500 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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