7,778,943

3³ × 288109

Starting at 7,778,943, the Collatz iteration reaches 1 after 279 steps. The first transition is 23336830; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 288109

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,524,400

Proper Divisor Sum 3,745,457

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7778941 ← → #7778951

Radix Representation

Decimal	7778943
Binary	11101101011001001111111 (23 bits)
Octal	0o35531177
Hexadecimal	0x76B27F

Divisor Catalog (8)

1 3 9 27 288,109 864,327 2,592,981 7,778,943

Collatz Trajectory (279 steps to reach 1)

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

7,778,943 23,336,830 11,668,415 35,005,246 17,502,623 52,507,870 26,253,935 78,761,806 39,380,903 118,142,710 59,071,355 177,214,066 88,607,033 265,821,100 132,910,550 66,455,275 199,365,826 99,682,913 299,048,740 149,524,370 74,762,185 224,286,556 112,143,278 56,071,639 168,214,918 84,107,459 252,322,378 126,161,189 378,483,568 189,241,784 94,620,892 47,310,446 23,655,223 70,965,670 35,482,835 106,448,506 53,224,253 159,672,760 79,836,380 39,918,190 19,959,095 59,877,286 29,938,643 89,815,930 44,907,965 134,723,896 67,361,948 33,680,974 16,840,487 50,521,462 25,260,731 75,782,194 37,891,097 113,673,292 56,836,646 28,418,323 85,254,970 42,627,485 127,882,456 63,941,228

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