λ
Prime Ledger

4,346,427

3 × 37 × 39157
Deficient Odd Composite

4,346,427 has the prime decomposition 3 × 37 × 39157. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 39157
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,952,016
Proper Divisor Sum 1,605,589
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4346401 ← → #4346429

Radix Representation

Decimal 4346427
Binary 10000100101001000111011 (23 bits)
Octal 0o20451073
Hexadecimal 0x42523B

Divisor Catalog (8)

1 3 37 111 39,157 117,471 1,448,809 4,346,427

Collatz Trajectory (149 steps to reach 1)

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

4,346,427 13,039,282 6,519,641 19,558,924 9,779,462 4,889,731 14,669,194 7,334,597 22,003,792 11,001,896 5,500,948 2,750,474 1,375,237 4,125,712 2,062,856 1,031,428 515,714 257,857 773,572 386,786 193,393 580,180 290,090 145,045 435,136 217,568 108,784 54,392 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580

More profiles

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