7,637,229

3² × 379 × 2239

7,637,229 has the prime decomposition 3^2 × 379 × 2239. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 379 × 2239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,065,600

Proper Divisor Sum 3,428,371

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7637213 ← → #7637243

Radix Representation

Decimal	7637229
Binary	11101001000100011101101 (23 bits)
Octal	0o35104355
Hexadecimal	0x7488ED

Divisor Catalog (12)

1 3 9 379 1,137 2,239 3,411 6,717 20,151 848,581 2,545,743 7,637,229

Collatz Trajectory (124 steps to reach 1)

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

7,637,229 22,911,688 11,455,844 5,727,922 2,863,961 8,591,884 4,295,942 2,147,971 6,443,914 3,221,957 9,665,872 4,832,936 2,416,468 1,208,234 604,117 1,812,352 906,176 453,088 226,544 113,272 56,636 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346

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