7,345,815

3 × 5 × 79 × 6199

7,345,815 has digital root 6. The neighboring primes are 7345801 and 7345817; its proper-divisor sum differs from the starting integer by -2,787,630.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 6199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,904,000

Proper Divisor Sum 4,558,185

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7345801 ← → #7345817

Radix Representation

Decimal	7345815
Binary	11100000001011010010111 (23 bits)
Octal	0o34013227
Hexadecimal	0x701697

Divisor Catalog (16)

1 3 5 15 79 237 395 1,185 6,199 18,597 30,995 92,985 489,721 1,469,163 2,448,605 7,345,815

Collatz Trajectory (67 steps to reach 1)

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

7,345,815 22,037,446 11,018,723 33,056,170 16,528,085 49,584,256 24,792,128 12,396,064 6,198,032 3,099,016 1,549,508 774,754 387,377 1,162,132 581,066 290,533 871,600 435,800 217,900 108,950 54,475 163,426 81,713 245,140 122,570 61,285 183,856 91,928 45,964 22,982 11,491 34,474 17,237 51,712 25,856 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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