7,558,720

2⁶ × 5 × 13 × 23 × 79

7,558,720 factors as 2^6 × 5 × 13 × 23 × 79. Its 112 positive divisors give a proper-divisor sum of 12,923,840, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 13 × 23 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 20,482,560

Proper Divisor Sum 12,923,840

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7558717 ← → #7558721

Radix Representation

Decimal	7558720
Binary	11100110101011001000000 (23 bits)
Octal	0o34653100
Hexadecimal	0x735640

Divisor Catalog (60 of 112)

1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 79 80 92 104 115 130 158 160 184 208 230 260 299 316 320 368 395 416 460 520 598 632 736 790 832 920 1,027 1,040 1,196 1,264 1,472 1,495 1,580 1,817 1,840 2,054 2,080 2,392 2,528 2,990 3,160 3,634 3,680

Collatz Trajectory (111 steps to reach 1)

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

7,558,720 3,779,360 1,889,680 944,840 472,420 236,210 118,105 354,316 177,158 88,579 265,738 132,869 398,608 199,304 99,652 49,826 24,913 74,740 37,370 18,685 56,056 28,028 14,014 7,007 21,022 10,511 31,534 15,767 47,302 23,651 70,954 35,477 106,432 53,216 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978

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