λ
Prime Ledger

836,251

13 × 64327
Deficient Odd Composite

836,251 has the prime decomposition 13 × 64327. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 64327
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 900,592
Proper Divisor Sum 64,341
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #836243 ← → #836267

Radix Representation

Decimal 836251
Binary 11001100001010011011 (20 bits)
Octal 0o3141233
Hexadecimal 0xCC29B

Divisor Catalog (4)

1 13 64,327 836,251

Collatz Trajectory (281 steps to reach 1)

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

836,251 2,508,754 1,254,377 3,763,132 1,881,566 940,783 2,822,350 1,411,175 4,233,526 2,116,763 6,350,290 3,175,145 9,525,436 4,762,718 2,381,359 7,144,078 3,572,039 10,716,118 5,358,059 16,074,178 8,037,089 24,111,268 12,055,634 6,027,817 18,083,452 9,041,726 4,520,863 13,562,590 6,781,295 20,343,886 10,171,943 30,515,830 15,257,915 45,773,746 22,886,873 68,660,620 34,330,310 17,165,155 51,495,466 25,747,733 77,243,200 38,621,600 19,310,800 9,655,400 4,827,700 2,413,850 1,206,925 3,620,776 1,810,388 905,194 452,597 1,357,792 678,896 339,448 169,724 84,862 42,431 127,294 63,647 190,942

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