7,815,968

2⁵ × 31 × 7879

7,815,968 has digital root 8. The neighboring primes are 7815947 and 7815989; its proper-divisor sum differs from the starting integer by 254,144.

Prime Factor Structure

Factorization String 2^5 × 31 × 7879

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,886,080

Proper Divisor Sum 8,070,112

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7815947 ← → #7815989

Radix Representation

Decimal	7815968
Binary	11101110100001100100000 (23 bits)
Octal	0o35641440
Hexadecimal	0x774320

Divisor Catalog (24)

1 2 4 8 16 31 32 62 124 248 496 992 7,879 15,758 31,516 63,032 126,064 244,249 252,128 488,498 976,996 1,953,992 3,907,984 7,815,968

Collatz Trajectory (93 steps to reach 1)

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

7,815,968 3,907,984 1,953,992 976,996 488,498 244,249 732,748 366,374 183,187 549,562 274,781 824,344 412,172 206,086 103,043 309,130 154,565 463,696 231,848 115,924 57,962 28,981 86,944 43,472 21,736 10,868 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384

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