λ
Prime Ledger

8,137,565

5 × 1627513
Deficient Odd Composite

8,137,565 has the prime decomposition 5 × 1627513. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1627513
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,765,084
Proper Divisor Sum 1,627,519
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8137559 ← → #8137573

Radix Representation

Decimal 8137565
Binary 11111000010101101011101 (23 bits)
Octal 0o37025535
Hexadecimal 0x7C2B5D

Divisor Catalog (4)

1 5 1,627,513 8,137,565

Collatz Trajectory (111 steps to reach 1)

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

8,137,565 24,412,696 12,206,348 6,103,174 3,051,587 9,154,762 4,577,381 13,732,144 6,866,072 3,433,036 1,716,518 858,259 2,574,778 1,287,389 3,862,168 1,931,084 965,542 482,771 1,448,314 724,157 2,172,472 1,086,236 543,118 271,559 814,678 407,339 1,222,018 611,009 1,833,028 916,514 458,257 1,374,772 687,386 343,693 1,031,080 515,540 257,770 128,885 386,656 193,328 96,664 48,332 24,166 12,083 36,250 18,125 54,376 27,188 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239

More profiles

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