λ
Prime Ledger

7,609,974

2 × 3 × 353 × 3593
Abundant Even Composite

7,609,974 has the prime decomposition 2 × 3 × 353 × 3593. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 353 × 3593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,267,312
Proper Divisor Sum 7,657,338
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7609963 ← → #7610003

Radix Representation

Decimal 7609974
Binary 11101000001111001110110 (23 bits)
Octal 0o35017166
Hexadecimal 0x741E76

Divisor Catalog (16)

1 2 3 6 353 706 1,059 2,118 3,593 7,186 10,779 21,558 1,268,329 2,536,658 3,804,987 7,609,974

Collatz Trajectory (103 steps to reach 1)

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

7,609,974 3,804,987 11,414,962 5,707,481 17,122,444 8,561,222 4,280,611 12,841,834 6,420,917 19,262,752 9,631,376 4,815,688 2,407,844 1,203,922 601,961 1,805,884 902,942 451,471 1,354,414 677,207 2,031,622 1,015,811 3,047,434 1,523,717 4,571,152 2,285,576 1,142,788 571,394 285,697 857,092 428,546 214,273 642,820 321,410 160,705 482,116 241,058 120,529 361,588 180,794 90,397 271,192 135,596 67,798 33,899 101,698 50,849 152,548 76,274 38,137 114,412 57,206 28,603 85,810 42,905 128,716 64,358 32,179 96,538 48,269

More profiles

← Previous Integer #7,609,973 Browse Full Index Next Integer #7,609,975 →