λ
Prime Ledger

2,475,412

22 × 31 × 19963
Deficient Even Composite

2,475,412 has the prime decomposition 2^2 × 31 × 19963. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 19963
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,471,936
Proper Divisor Sum 1,996,524
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2475397 ← → #2475427

Radix Representation

Decimal 2475412
Binary 1001011100010110010100 (22 bits)
Octal 0o11342624
Hexadecimal 0x25C594

Divisor Catalog (12)

1 2 4 31 62 124 19,963 39,926 79,852 618,853 1,237,706 2,475,412

Collatz Trajectory (174 steps to reach 1)

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

2,475,412 1,237,706 618,853 1,856,560 928,280 464,140 232,070 116,035 348,106 174,053 522,160 261,080 130,540 65,270 32,635 97,906 48,953 146,860 73,430 36,715 110,146 55,073 165,220 82,610 41,305 123,916 61,958 30,979 92,938 46,469 139,408 69,704 34,852 17,426 8,713 26,140 13,070 6,535 19,606 9,803 29,410 14,705 44,116 22,058 11,029 33,088 16,544 8,272 4,136 2,068 1,034 517 1,552 776 388 194 97 292 146 73

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