7,958,085

3 × 5 × 530539

Starting at 7,958,085, the Collatz iteration reaches 1 after 67 steps. The first transition is 23874256; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 530539

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,732,960

Proper Divisor Sum 4,774,875

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7958077 ← → #7958099

Radix Representation

Decimal	7958085
Binary	11110010110111001000101 (23 bits)
Octal	0o36267105
Hexadecimal	0x796E45

Divisor Catalog (8)

1 3 5 15 530,539 1,591,617 2,652,695 7,958,085

Collatz Trajectory (67 steps to reach 1)

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

7,958,085 23,874,256 11,937,128 5,968,564 2,984,282 1,492,141 4,476,424 2,238,212 1,119,106 559,553 1,678,660 839,330 419,665 1,258,996 629,498 314,749 944,248 472,124 236,062 118,031 354,094 177,047 531,142 265,571 796,714 398,357 1,195,072 597,536 298,768 149,384 74,692 37,346 18,673 56,020 28,010 14,005 42,016 21,008 10,504 5,252 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40

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