λ
Prime Ledger

9,776,148

22 × 3 × 139 × 5861
Abundant Even Composite

9,776,148 has the prime decomposition 2^2 × 3 × 139 × 5861. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 139 × 5861
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,979,040
Proper Divisor Sum 13,202,892
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9776147 ← → #9776149

Radix Representation

Decimal 9776148
Binary 100101010010110000010100 (24 bits)
Octal 0o45226024
Hexadecimal 0x952C14

Divisor Catalog (24)

1 2 3 4 6 12 139 278 417 556 834 1,668 5,861 11,722 17,583 23,444 35,166 70,332 814,679 1,629,358 2,444,037 3,258,716 4,888,074 9,776,148

Collatz Trajectory (88 steps to reach 1)

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

9,776,148 4,888,074 2,444,037 7,332,112 3,666,056 1,833,028 916,514 458,257 1,374,772 687,386 343,693 1,031,080 515,540 257,770 128,885 386,656 193,328 96,664 48,332 24,166 12,083 36,250 18,125 54,376 27,188 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732

More profiles

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