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Atlas › Integer Profiles › Node 2,155,265

2,155,265

5 × 72 × 19 × 463
Deficient Odd Composite

2,155,265 factors as 5 × 7^2 × 19 × 463. Its 24 positive divisors give a proper-divisor sum of 1,018,495, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 19 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,173,760
Proper Divisor Sum 1,018,495
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2155259 ← → #2155267

Radix Representation

Decimal 2155265
Binary 1000001110001100000001 (22 bits)
Octal 0o10161401
Hexadecimal 0x20E301

Divisor Catalog (24)

1 5 7 19 35 49 95 133 245 463 665 931 2,315 3,241 4,655 8,797 16,205 22,687 43,985 61,579 113,435 307,895 431,053 2,155,265

Collatz Trajectory (166 steps to reach 1)

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

2,155,265 6,465,796 3,232,898 1,616,449 4,849,348 2,424,674 1,212,337 3,637,012 1,818,506 909,253 2,727,760 1,363,880 681,940 340,970 170,485 511,456 255,728 127,864 63,932 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380

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