λ
Harmonic Matrix

7,361,072

24 × 491 × 937
Deficient Even Composite

7,361,072 has digital root 8. The neighboring primes are 7361071 and 7361083; its proper-divisor sum differs from the starting integer by -415,768.

Prime Factor Structure

Factorization String 2^4 × 491 × 937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,306,376
Proper Divisor Sum 6,945,304
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7361071 ← → #7361083

Radix Representation

Decimal 7361072
Binary 11100000101001000110000 (23 bits)
Octal 0o34051060
Hexadecimal 0x705230

Divisor Catalog (20)

1 2 4 8 16 491 937 982 1,874 1,964 3,748 3,928 7,496 7,856 14,992 460,067 920,134 1,840,268 3,680,536 7,361,072

Collatz Trajectory (142 steps to reach 1)

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

7,361,072 3,680,536 1,840,268 920,134 460,067 1,380,202 690,101 2,070,304 1,035,152 517,576 258,788 129,394 64,697 194,092 97,046 48,523 145,570 72,785 218,356 109,178 54,589 163,768 81,884 40,942 20,471 61,414 30,707 92,122 46,061 138,184 69,092 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178

More profiles

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