7,636,715

5 × 29 × 52667

Starting at 7,636,715, the Collatz iteration reaches 1 after 173 steps. The first transition is 22910146; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 29 × 52667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,480,240

Proper Divisor Sum 1,843,525

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7636709 ← → #7636721

Radix Representation

Decimal	7636715
Binary	11101001000011011101011 (23 bits)
Octal	0o35103353
Hexadecimal	0x7486EB

Divisor Catalog (8)

1 5 29 145 52,667 263,335 1,527,343 7,636,715

Collatz Trajectory (173 steps to reach 1)

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

7,636,715 22,910,146 11,455,073 34,365,220 17,182,610 8,591,305 25,773,916 12,886,958 6,443,479 19,330,438 9,665,219 28,995,658 14,497,829 43,493,488 21,746,744 10,873,372 5,436,686 2,718,343 8,155,030 4,077,515 12,232,546 6,116,273 18,348,820 9,174,410 4,587,205 13,761,616 6,880,808 3,440,404 1,720,202 860,101 2,580,304 1,290,152 645,076 322,538 161,269 483,808 241,904 120,952 60,476 30,238 15,119 45,358 22,679 68,038 34,019 102,058 51,029 153,088 76,544 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348

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