λ
Prime Ledger

7,437,809

23 × 323383
Deficient Odd Composite

7,437,809 has the prime decomposition 23 × 323383. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 323383
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,761,216
Proper Divisor Sum 323,407
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7437803 ← → #7437821

Radix Representation

Decimal 7437809
Binary 11100010111110111110001 (23 bits)
Octal 0o34276761
Hexadecimal 0x717DF1

Divisor Catalog (4)

1 23 323,383 7,437,809

Collatz Trajectory (142 steps to reach 1)

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

7,437,809 22,313,428 11,156,714 5,578,357 16,735,072 8,367,536 4,183,768 2,091,884 1,045,942 522,971 1,568,914 784,457 2,353,372 1,176,686 588,343 1,765,030 882,515 2,647,546 1,323,773 3,971,320 1,985,660 992,830 496,415 1,489,246 744,623 2,233,870 1,116,935 3,350,806 1,675,403 5,026,210 2,513,105 7,539,316 3,769,658 1,884,829 5,654,488 2,827,244 1,413,622 706,811 2,120,434 1,060,217 3,180,652 1,590,326 795,163 2,385,490 1,192,745 3,578,236 1,789,118 894,559 2,683,678 1,341,839 4,025,518 2,012,759 6,038,278 3,019,139 9,057,418 4,528,709 13,586,128 6,793,064 3,396,532 1,698,266

More profiles

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