λ
Ratio Atlas

2,237,053

7 × 132 × 31 × 61
Deficient Odd Composite

2,237,053 factors as 7 × 13^2 × 31 × 61. Its 24 positive divisors give a proper-divisor sum of 667,523, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 7 × 13^2 × 31 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,904,576
Proper Divisor Sum 667,523
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2237051 ← → #2237071

Radix Representation

Decimal 2237053
Binary 1000100010001001111101 (22 bits)
Octal 0o10421175
Hexadecimal 0x22227D

Divisor Catalog (24)

1 7 13 31 61 91 169 217 403 427 793 1,183 1,891 2,821 5,239 5,551 10,309 13,237 24,583 36,673 72,163 172,081 319,579 2,237,053

Collatz Trajectory (161 steps to reach 1)

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

2,237,053 6,711,160 3,355,580 1,677,790 838,895 2,516,686 1,258,343 3,775,030 1,887,515 5,662,546 2,831,273 8,493,820 4,246,910 2,123,455 6,370,366 3,185,183 9,555,550 4,777,775 14,333,326 7,166,663 21,499,990 10,749,995 32,249,986 16,124,993 48,374,980 24,187,490 12,093,745 36,281,236 18,140,618 9,070,309 27,210,928 13,605,464 6,802,732 3,401,366 1,700,683 5,102,050 2,551,025 7,653,076 3,826,538 1,913,269 5,739,808 2,869,904 1,434,952 717,476 358,738 179,369 538,108 269,054 134,527 403,582 201,791 605,374 302,687 908,062 454,031 1,362,094 681,047 2,043,142 1,021,571 3,064,714

More profiles

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