λ
Harmonic Matrix

7,059,296

25 × 29 × 7607
Abundant Even Composite

7,059,296 has digital root 2. The neighboring primes are 7059281 and 7059307; its proper-divisor sum differs from the starting integer by 260,528.

Prime Factor Structure

Factorization String 2^5 × 29 × 7607
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,379,120
Proper Divisor Sum 7,319,824
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7059281 ← → #7059307

Radix Representation

Decimal 7059296
Binary 11010111011011101100000 (23 bits)
Octal 0o32733540
Hexadecimal 0x6BB760

Divisor Catalog (24)

1 2 4 8 16 29 32 58 116 232 464 928 7,607 15,214 30,428 60,856 121,712 220,603 243,424 441,206 882,412 1,764,824 3,529,648 7,059,296

Collatz Trajectory (129 steps to reach 1)

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

7,059,296 3,529,648 1,764,824 882,412 441,206 220,603 661,810 330,905 992,716 496,358 248,179 744,538 372,269 1,116,808 558,404 279,202 139,601 418,804 209,402 104,701 314,104 157,052 78,526 39,263 117,790 58,895 176,686 88,343 265,030 132,515 397,546 198,773 596,320 298,160 149,080 74,540 37,270 18,635 55,906 27,953 83,860 41,930 20,965 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465

More profiles

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