7,912,926

2 × 3² × 7 × 62801

Starting at 7,912,926, the Collatz iteration reaches 1 after 124 steps. The first transition is 3956463; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 62801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,594,224

Proper Divisor Sum 11,681,298

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7912909 ← → #7912937

Radix Representation

Decimal	7912926
Binary	11110001011110111011110 (23 bits)
Octal	0o36136736
Hexadecimal	0x78BDDE

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 62,801 125,602 188,403 376,806 439,607 565,209 879,214 1,130,418 1,318,821 2,637,642 3,956,463 7,912,926

Collatz Trajectory (124 steps to reach 1)

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

7,912,926 3,956,463 11,869,390 5,934,695 17,804,086 8,902,043 26,706,130 13,353,065 40,059,196 20,029,598 10,014,799 30,044,398 15,022,199 45,066,598 22,533,299 67,599,898 33,799,949 101,399,848 50,699,924 25,349,962 12,674,981 38,024,944 19,012,472 9,506,236 4,753,118 2,376,559 7,129,678 3,564,839 10,694,518 5,347,259 16,041,778 8,020,889 24,062,668 12,031,334 6,015,667 18,047,002 9,023,501 27,070,504 13,535,252 6,767,626 3,383,813 10,151,440 5,075,720 2,537,860 1,268,930 634,465 1,903,396 951,698 475,849 1,427,548 713,774 356,887 1,070,662 535,331 1,605,994 802,997 2,408,992 1,204,496 602,248 301,124

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