2,867,767

7 × 229 × 1789

Starting at 2,867,767, the Collatz iteration reaches 1 after 81 steps. The first transition is 8603302; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 229 × 1789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,293,600

Proper Divisor Sum 425,833

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #2867743 ← → #2867771

Radix Representation

Decimal	2867767
Binary	1010111100001000110111 (22 bits)
Octal	0o12741067
Hexadecimal	0x2BC237

Divisor Catalog (8)

1 7 229 1,603 1,789 12,523 409,681 2,867,767

Collatz Trajectory (81 steps to reach 1)

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

2,867,767 8,603,302 4,301,651 12,904,954 6,452,477 19,357,432 9,678,716 4,839,358 2,419,679 7,259,038 3,629,519 10,888,558 5,444,279 16,332,838 8,166,419 24,499,258 12,249,629 36,748,888 18,374,444 9,187,222 4,593,611 13,780,834 6,890,417 20,671,252 10,335,626 5,167,813 15,503,440 7,751,720 3,875,860 1,937,930 968,965 2,906,896 1,453,448 726,724 363,362 181,681 545,044 272,522 136,261 408,784 204,392 102,196 51,098 25,549 76,648 38,324 19,162 9,581 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196

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