2,965,839

3 × 43 × 83 × 277

Starting at 2,965,839, the Collatz iteration reaches 1 after 288 steps. The first transition is 8897518; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 43 × 83 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,109,952

Proper Divisor Sum 1,144,113

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2965819 ← → #2965847

Radix Representation

Decimal	2965839
Binary	1011010100000101001111 (22 bits)
Octal	0o13240517
Hexadecimal	0x2D414F

Divisor Catalog (16)

1 3 43 83 129 249 277 831 3,569 10,707 11,911 22,991 35,733 68,973 988,613 2,965,839

Collatz Trajectory (288 steps to reach 1)

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

2,965,839 8,897,518 4,448,759 13,346,278 6,673,139 20,019,418 10,009,709 30,029,128 15,014,564 7,507,282 3,753,641 11,260,924 5,630,462 2,815,231 8,445,694 4,222,847 12,668,542 6,334,271 19,002,814 9,501,407 28,504,222 14,252,111 42,756,334 21,378,167 64,134,502 32,067,251 96,201,754 48,100,877 144,302,632 72,151,316 36,075,658 18,037,829 54,113,488 27,056,744 13,528,372 6,764,186 3,382,093 10,146,280 5,073,140 2,536,570 1,268,285 3,804,856 1,902,428 951,214 475,607 1,426,822 713,411 2,140,234 1,070,117 3,210,352 1,605,176 802,588 401,294 200,647 601,942 300,971 902,914 451,457 1,354,372 677,186

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