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Atlas › Integer Profiles › Node 3,603,076

3,603,076

22 × 29 × 89 × 349
Deficient Even Composite

3,603,076 factors as 2^2 × 29 × 89 × 349. Its 24 positive divisors give a proper-divisor sum of 3,011,924, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 89 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,615,000
Proper Divisor Sum 3,011,924
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3603073 ← → #3603077

Radix Representation

Decimal 3603076
Binary 1101101111101010000100 (22 bits)
Octal 0o15575204
Hexadecimal 0x36FA84

Divisor Catalog (24)

1 2 4 29 58 89 116 178 349 356 698 1,396 2,581 5,162 10,121 10,324 20,242 31,061 40,484 62,122 124,244 900,769 1,801,538 3,603,076

Collatz Trajectory (234 steps to reach 1)

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

3,603,076 1,801,538 900,769 2,702,308 1,351,154 675,577 2,026,732 1,013,366 506,683 1,520,050 760,025 2,280,076 1,140,038 570,019 1,710,058 855,029 2,565,088 1,282,544 641,272 320,636 160,318 80,159 240,478 120,239 360,718 180,359 541,078 270,539 811,618 405,809 1,217,428 608,714 304,357 913,072 456,536 228,268 114,134 57,067 171,202 85,601 256,804 128,402 64,201 192,604 96,302 48,151 144,454 72,227 216,682 108,341 325,024 162,512 81,256 40,628 20,314 10,157 30,472 15,236 7,618 3,809

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