7,810,705

5 × 7 × 41 × 5443

Starting at 7,810,705, the Collatz iteration reaches 1 after 155 steps. The first transition is 23432116; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 41 × 5443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,975,104

Proper Divisor Sum 3,164,399

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7810703 ← → #7810711

Radix Representation

Decimal	7810705
Binary	11101110010111010010001 (23 bits)
Octal	0o35627221
Hexadecimal	0x772E91

Divisor Catalog (16)

1 5 7 35 41 205 287 1,435 5,443 27,215 38,101 190,505 223,163 1,115,815 1,562,141 7,810,705

Collatz Trajectory (155 steps to reach 1)

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

7,810,705 23,432,116 11,716,058 5,858,029 17,574,088 8,787,044 4,393,522 2,196,761 6,590,284 3,295,142 1,647,571 4,942,714 2,471,357 7,414,072 3,707,036 1,853,518 926,759 2,780,278 1,390,139 4,170,418 2,085,209 6,255,628 3,127,814 1,563,907 4,691,722 2,345,861 7,037,584 3,518,792 1,759,396 879,698 439,849 1,319,548 659,774 329,887 989,662 494,831 1,484,494 742,247 2,226,742 1,113,371 3,340,114 1,670,057 5,010,172 2,505,086 1,252,543 3,757,630 1,878,815 5,636,446 2,818,223 8,454,670 4,227,335 12,682,006 6,341,003 19,023,010 9,511,505 28,534,516 14,267,258 7,133,629 21,400,888 10,700,444

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