λ
Modular Archive

7,670,702

2 × 13 × 312 × 307
Deficient Even Composite

The decimal integer 7,670,702 is 11101010000101110101110 in binary (23 bits), 35205656 in octal and 750BAE in hexadecimal. Its digit sum is 29.

Prime Factor Structure

Factorization String 2 × 13 × 31^2 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,845,448
Proper Divisor Sum 5,174,746
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7670701 ← → #7670711

Radix Representation

Decimal 7670702
Binary 11101010000101110101110 (23 bits)
Octal 0o35205656
Hexadecimal 0x750BAE

Divisor Catalog (24)

1 2 13 26 31 62 307 403 614 806 961 1,922 3,991 7,982 9,517 12,493 19,034 24,986 123,721 247,442 295,027 590,054 3,835,351 7,670,702

Collatz Trajectory (279 steps to reach 1)

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

7,670,702 3,835,351 11,506,054 5,753,027 17,259,082 8,629,541 25,888,624 12,944,312 6,472,156 3,236,078 1,618,039 4,854,118 2,427,059 7,281,178 3,640,589 10,921,768 5,460,884 2,730,442 1,365,221 4,095,664 2,047,832 1,023,916 511,958 255,979 767,938 383,969 1,151,908 575,954 287,977 863,932 431,966 215,983 647,950 323,975 971,926 485,963 1,457,890 728,945 2,186,836 1,093,418 546,709 1,640,128 820,064 410,032 205,016 102,508 51,254 25,627 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922

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