7,672,748

2² × 31 × 43 × 1439

7,672,748 has the prime decomposition 2^2 × 31 × 43 × 1439. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 43 × 1439

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,192,640

Proper Divisor Sum 6,519,892

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7672741 ← → #7672759

Radix Representation

Decimal	7672748
Binary	11101010001001110101100 (23 bits)
Octal	0o35211654
Hexadecimal	0x7513AC

Divisor Catalog (24)

1 2 4 31 43 62 86 124 172 1,333 1,439 2,666 2,878 5,332 5,756 44,609 61,877 89,218 123,754 178,436 247,508 1,918,187 3,836,374 7,672,748

Collatz Trajectory (204 steps to reach 1)

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

7,672,748 3,836,374 1,918,187 5,754,562 2,877,281 8,631,844 4,315,922 2,157,961 6,473,884 3,236,942 1,618,471 4,855,414 2,427,707 7,283,122 3,641,561 10,924,684 5,462,342 2,731,171 8,193,514 4,096,757 12,290,272 6,145,136 3,072,568 1,536,284 768,142 384,071 1,152,214 576,107 1,728,322 864,161 2,592,484 1,296,242 648,121 1,944,364 972,182 486,091 1,458,274 729,137 2,187,412 1,093,706 546,853 1,640,560 820,280 410,140 205,070 102,535 307,606 153,803 461,410 230,705 692,116 346,058 173,029 519,088 259,544 129,772 64,886 32,443 97,330 48,665

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