λ
Prime Ledger

3,704,365

5 × 7 × 109 × 971
Deficient Odd Composite

3,704,365 has the prime decomposition 5 × 7 × 109 × 971. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 109 × 971
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,132,160
Proper Divisor Sum 1,427,795
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3704353 ← → #3704369

Radix Representation

Decimal 3704365
Binary 1110001000011000101101 (22 bits)
Octal 0o16103055
Hexadecimal 0x38862D

Divisor Catalog (16)

1 5 7 35 109 545 763 971 3,815 4,855 6,797 33,985 105,839 529,195 740,873 3,704,365

Collatz Trajectory (172 steps to reach 1)

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

3,704,365 11,113,096 5,556,548 2,778,274 1,389,137 4,167,412 2,083,706 1,041,853 3,125,560 1,562,780 781,390 390,695 1,172,086 586,043 1,758,130 879,065 2,637,196 1,318,598 659,299 1,977,898 988,949 2,966,848 1,483,424 741,712 370,856 185,428 92,714 46,357 139,072 69,536 34,768 17,384 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109

More profiles

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