8,415,767

8415767

Starting at 8,415,767, the Collatz iteration reaches 1 after 168 steps. The first transition is 25247302; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8415767

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 8,415,768

Proper Divisor Sum 1

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8415763 ← → #8415793

Radix Representation

Decimal	8415767
Binary	100000000110101000010111 (24 bits)
Octal	0o40065027
Hexadecimal	0x806A17

Divisor Catalog (2)

1 8,415,767

Collatz Trajectory (168 steps to reach 1)

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

8,415,767 25,247,302 12,623,651 37,870,954 18,935,477 56,806,432 28,403,216 14,201,608 7,100,804 3,550,402 1,775,201 5,325,604 2,662,802 1,331,401 3,994,204 1,997,102 998,551 2,995,654 1,497,827 4,493,482 2,246,741 6,740,224 3,370,112 1,685,056 842,528 421,264 210,632 105,316 52,658 26,329 78,988 39,494 19,747 59,242 29,621 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250

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