7,865,015

5 × 263 × 5981

Starting at 7,865,015, the Collatz iteration reaches 1 after 292 steps. The first transition is 23595046; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 263 × 5981

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,475,488

Proper Divisor Sum 1,610,473

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7865009 ← → #7865017

Radix Representation

Decimal	7865015
Binary	11110000000001010110111 (23 bits)
Octal	0o36001267
Hexadecimal	0x7802B7

Divisor Catalog (8)

1 5 263 1,315 5,981 29,905 1,573,003 7,865,015

Collatz Trajectory (292 steps to reach 1)

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

7,865,015 23,595,046 11,797,523 35,392,570 17,696,285 53,088,856 26,544,428 13,272,214 6,636,107 19,908,322 9,954,161 29,862,484 14,931,242 7,465,621 22,396,864 11,198,432 5,599,216 2,799,608 1,399,804 699,902 349,951 1,049,854 524,927 1,574,782 787,391 2,362,174 1,181,087 3,543,262 1,771,631 5,314,894 2,657,447 7,972,342 3,986,171 11,958,514 5,979,257 17,937,772 8,968,886 4,484,443 13,453,330 6,726,665 20,179,996 10,089,998 5,044,999 15,134,998 7,567,499 22,702,498 11,351,249 34,053,748 17,026,874 8,513,437 25,540,312 12,770,156 6,385,078 3,192,539 9,577,618 4,788,809 14,366,428 7,183,214 3,591,607 10,774,822

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