λ
Prime Ledger

3,713,087

7 × 31 × 71 × 241
Deficient Odd Composite

3,713,087 has the prime decomposition 7 × 31 × 71 × 241. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 31 × 71 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,460,544
Proper Divisor Sum 747,457
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3713081 ← → #3713147

Radix Representation

Decimal 3713087
Binary 1110001010100000111111 (22 bits)
Octal 0o16124077
Hexadecimal 0x38A83F

Divisor Catalog (16)

1 7 31 71 217 241 497 1,687 2,201 7,471 15,407 17,111 52,297 119,777 530,441 3,713,087

Collatz Trajectory (234 steps to reach 1)

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

3,713,087 11,139,262 5,569,631 16,708,894 8,354,447 25,063,342 12,531,671 37,595,014 18,797,507 56,392,522 28,196,261 84,588,784 42,294,392 21,147,196 10,573,598 5,286,799 15,860,398 7,930,199 23,790,598 11,895,299 35,685,898 17,842,949 53,528,848 26,764,424 13,382,212 6,691,106 3,345,553 10,036,660 5,018,330 2,509,165 7,527,496 3,763,748 1,881,874 940,937 2,822,812 1,411,406 705,703 2,117,110 1,058,555 3,175,666 1,587,833 4,763,500 2,381,750 1,190,875 3,572,626 1,786,313 5,358,940 2,679,470 1,339,735 4,019,206 2,009,603 6,028,810 3,014,405 9,043,216 4,521,608 2,260,804 1,130,402 565,201 1,695,604 847,802

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