λ
Sequence Observatory

7,929,477

32 × 571 × 1543
Deficient Odd Composite

Starting at 7,929,477, the Collatz iteration reaches 1 after 186 steps. The first transition is 23788432; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 571 × 1543
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,481,184
Proper Divisor Sum 3,551,707
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7929473 ← → #7929491

Radix Representation

Decimal 7929477
Binary 11110001111111010000101 (23 bits)
Octal 0o36177205
Hexadecimal 0x78FE85

Divisor Catalog (12)

1 3 9 571 1,543 1,713 4,629 5,139 13,887 881,053 2,643,159 7,929,477

Collatz Trajectory (186 steps to reach 1)

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

7,929,477 23,788,432 11,894,216 5,947,108 2,973,554 1,486,777 4,460,332 2,230,166 1,115,083 3,345,250 1,672,625 5,017,876 2,508,938 1,254,469 3,763,408 1,881,704 940,852 470,426 235,213 705,640 352,820 176,410 88,205 264,616 132,308 66,154 33,077 99,232 49,616 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403

More profiles

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