7,509,168

2⁴ × 3² × 52147

7,509,168 has digital root 9. The neighboring primes are 7509157 and 7509169; its proper-divisor sum differs from the starting integer by 5,997,308.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 52147

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 21,015,644

Proper Divisor Sum 13,506,476

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7509157 ← → #7509169

Radix Representation

Decimal	7509168
Binary	11100101001010010110000 (23 bits)
Octal	0o34512260
Hexadecimal	0x7294B0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 52,147 104,294 156,441 208,588 312,882 417,176 469,323 625,764 834,352 938,646 1,251,528 1,877,292 2,503,056 3,754,584 7,509,168

Collatz Trajectory (129 steps to reach 1)

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

7,509,168 3,754,584 1,877,292 938,646 469,323 1,407,970 703,985 2,111,956 1,055,978 527,989 1,583,968 791,984 395,992 197,996 98,998 49,499 148,498 74,249 222,748 111,374 55,687 167,062 83,531 250,594 125,297 375,892 187,946 93,973 281,920 140,960 70,480 35,240 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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