λ
Prime Ledger

3,505,263

3 × 31 × 37691
Deficient Odd Composite

3,505,263 has the prime decomposition 3 × 31 × 37691. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 37691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,824,576
Proper Divisor Sum 1,319,313
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3505237 ← → #3505267

Radix Representation

Decimal 3505263
Binary 1101010111110001101111 (22 bits)
Octal 0o15276157
Hexadecimal 0x357C6F

Divisor Catalog (8)

1 3 31 93 37,691 113,073 1,168,421 3,505,263

Collatz Trajectory (265 steps to reach 1)

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

3,505,263 10,515,790 5,257,895 15,773,686 7,886,843 23,660,530 11,830,265 35,490,796 17,745,398 8,872,699 26,618,098 13,309,049 39,927,148 19,963,574 9,981,787 29,945,362 14,972,681 44,918,044 22,459,022 11,229,511 33,688,534 16,844,267 50,532,802 25,266,401 75,799,204 37,899,602 18,949,801 56,849,404 28,424,702 14,212,351 42,637,054 21,318,527 63,955,582 31,977,791 95,933,374 47,966,687 143,900,062 71,950,031 215,850,094 107,925,047 323,775,142 161,887,571 485,662,714 242,831,357 728,494,072 364,247,036 182,123,518 91,061,759 273,185,278 136,592,639 409,777,918 204,888,959 614,666,878 307,333,439 922,000,318 461,000,159 1,383,000,478 691,500,239 2,074,500,718 1,037,250,359

More profiles

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