7,810,005

3 × 5 × 7 × 74381

7,810,005 factors as 3 × 5 × 7 × 74381. Its 16 positive divisors give a proper-divisor sum of 6,471,339, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 74381

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,281,344

Proper Divisor Sum 6,471,339

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7810001 ← → #7810039

Radix Representation

Decimal	7810005
Binary	11101110010101111010101 (23 bits)
Octal	0o35625725
Hexadecimal	0x772BD5

Divisor Catalog (16)

1 3 5 7 15 21 35 105 74,381 223,143 371,905 520,667 1,115,715 1,562,001 2,603,335 7,810,005

Collatz Trajectory (186 steps to reach 1)

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

7,810,005 23,430,016 11,715,008 5,857,504 2,928,752 1,464,376 732,188 366,094 183,047 549,142 274,571 823,714 411,857 1,235,572 617,786 308,893 926,680 463,340 231,670 115,835 347,506 173,753 521,260 260,630 130,315 390,946 195,473 586,420 293,210 146,605 439,816 219,908 109,954 54,977 164,932 82,466 41,233 123,700 61,850 30,925 92,776 46,388 23,194 11,597 34,792 17,396 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261

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