7,787,862

2 × 3² × 432659

Starting at 7,787,862, the Collatz iteration reaches 1 after 173 steps. The first transition is 3893931; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 432659

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,873,740

Proper Divisor Sum 9,085,878

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7787861 ← → #7787881

Radix Representation

Decimal	7787862
Binary	11101101101010101010110 (23 bits)
Octal	0o35552526
Hexadecimal	0x76D556

Divisor Catalog (12)

1 2 3 6 9 18 432,659 865,318 1,297,977 2,595,954 3,893,931 7,787,862

Collatz Trajectory (173 steps to reach 1)

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

7,787,862 3,893,931 11,681,794 5,840,897 17,522,692 8,761,346 4,380,673 13,142,020 6,571,010 3,285,505 9,856,516 4,928,258 2,464,129 7,392,388 3,696,194 1,848,097 5,544,292 2,772,146 1,386,073 4,158,220 2,079,110 1,039,555 3,118,666 1,559,333 4,678,000 2,339,000 1,169,500 584,750 292,375 877,126 438,563 1,315,690 657,845 1,973,536 986,768 493,384 246,692 123,346 61,673 185,020 92,510 46,255 138,766 69,383 208,150 104,075 312,226 156,113 468,340 234,170 117,085 351,256 175,628 87,814 43,907 131,722 65,861 197,584 98,792 49,396

← Previous Integer #7,787,861 Browse Full Index Next Integer #7,787,863 →