7,201,076

2² × 19 × 41 × 2311

7,201,076 has digital root 5. The neighboring primes are 7201063 and 7201091; its proper-divisor sum differs from the starting integer by -807,592.

Prime Factor Structure

Factorization String 2^2 × 19 × 41 × 2311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,594,560

Proper Divisor Sum 6,393,484

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7201063 ← → #7201091

Radix Representation

Decimal	7201076
Binary	11011011110000100110100 (23 bits)
Octal	0o33360464
Hexadecimal	0x6DE134

Divisor Catalog (24)

1 2 4 19 38 41 76 82 164 779 1,558 2,311 3,116 4,622 9,244 43,909 87,818 94,751 175,636 189,502 379,004 1,800,269 3,600,538 7,201,076

Collatz Trajectory (142 steps to reach 1)

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

7,201,076 3,600,538 1,800,269 5,400,808 2,700,404 1,350,202 675,101 2,025,304 1,012,652 506,326 253,163 759,490 379,745 1,139,236 569,618 284,809 854,428 427,214 213,607 640,822 320,411 961,234 480,617 1,441,852 720,926 360,463 1,081,390 540,695 1,622,086 811,043 2,433,130 1,216,565 3,649,696 1,824,848 912,424 456,212 228,106 114,053 342,160 171,080 85,540 42,770 21,385 64,156 32,078 16,039 48,118 24,059 72,178 36,089 108,268 54,134 27,067 81,202 40,601 121,804 60,902 30,451 91,354 45,677

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