λ
Sigma Notebook

8,029,708

22 × 73 × 107 × 257
Deficient Even Composite

8,029,708 is even and not a perfect square. Its factorization is 2^2 × 73 × 107 × 257 and its 24 divisors sum to 14,433,552.

Prime Factor Structure

Factorization String 2^2 × 73 × 107 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,433,552
Proper Divisor Sum 6,403,844
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8029673 ← → #8029717

Radix Representation

Decimal 8029708
Binary 11110101000011000001100 (23 bits)
Octal 0o36503014
Hexadecimal 0x7A860C

Divisor Catalog (24)

1 2 4 73 107 146 214 257 292 428 514 1,028 7,811 15,622 18,761 27,499 31,244 37,522 54,998 75,044 109,996 2,007,427 4,014,854 8,029,708

Collatz Trajectory (93 steps to reach 1)

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

8,029,708 4,014,854 2,007,427 6,022,282 3,011,141 9,033,424 4,516,712 2,258,356 1,129,178 564,589 1,693,768 846,884 423,442 211,721 635,164 317,582 158,791 476,374 238,187 714,562 357,281 1,071,844 535,922 267,961 803,884 401,942 200,971 602,914 301,457 904,372 452,186 226,093 678,280 339,140 169,570 84,785 254,356 127,178 63,589 190,768 95,384 47,692 23,846 11,923 35,770 17,885 53,656 26,828 13,414 6,707 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415

More profiles

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