λ
Integer Codex

9,578,345

5 × 7 × 211 × 1297
Deficient Odd Composite

For 9,578,345, the 16 positive divisors have a total of 13,208,448. Removing 9,578,345 leaves 3,630,103, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 211 × 1297
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,208,448
Proper Divisor Sum 3,630,103
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9578341 ← → #9578357

Radix Representation

Decimal 9578345
Binary 100100100010011101101001 (24 bits)
Octal 0o44423551
Hexadecimal 0x922769

Divisor Catalog (16)

1 5 7 35 211 1,055 1,297 1,477 6,485 7,385 9,079 45,395 273,667 1,368,335 1,915,669 9,578,345

Collatz Trajectory (194 steps to reach 1)

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

9,578,345 28,735,036 14,367,518 7,183,759 21,551,278 10,775,639 32,326,918 16,163,459 48,490,378 24,245,189 72,735,568 36,367,784 18,183,892 9,091,946 4,545,973 13,637,920 6,818,960 3,409,480 1,704,740 852,370 426,185 1,278,556 639,278 319,639 958,918 479,459 1,438,378 719,189 2,157,568 1,078,784 539,392 269,696 134,848 67,424 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691

More profiles

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