7,138,413

3² × 727 × 1091

Starting at 7,138,413, the Collatz iteration reaches 1 after 279 steps. The first transition is 21415240; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 727 × 1091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,334,688

Proper Divisor Sum 3,196,275

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7138409 ← → #7138489

Radix Representation

Decimal	7138413
Binary	11011001110110001101101 (23 bits)
Octal	0o33166155
Hexadecimal	0x6CEC6D

Divisor Catalog (12)

1 3 9 727 1,091 2,181 3,273 6,543 9,819 793,157 2,379,471 7,138,413

Collatz Trajectory (279 steps to reach 1)

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

7,138,413 21,415,240 10,707,620 5,353,810 2,676,905 8,030,716 4,015,358 2,007,679 6,023,038 3,011,519 9,034,558 4,517,279 13,551,838 6,775,919 20,327,758 10,163,879 30,491,638 15,245,819 45,737,458 22,868,729 68,606,188 34,303,094 17,151,547 51,454,642 25,727,321 77,181,964 38,590,982 19,295,491 57,886,474 28,943,237 86,829,712 43,414,856 21,707,428 10,853,714 5,426,857 16,280,572 8,140,286 4,070,143 12,210,430 6,105,215 18,315,646 9,157,823 27,473,470 13,736,735 41,210,206 20,605,103 61,815,310 30,907,655 92,722,966 46,361,483 139,084,450 69,542,225 208,626,676 104,313,338 52,156,669 156,470,008 78,235,004 39,117,502 19,558,751 58,676,254

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