λ
Harmonic Matrix

4,713,363

33 × 174569
Deficient Odd Composite

4,713,363 has digital root 9. The neighboring primes are 4713347 and 4713389; its proper-divisor sum differs from the starting integer by -2,443,926.

Prime Factor Structure

Factorization String 3^3 × 174569
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,982,800
Proper Divisor Sum 2,269,437
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4713347 ← → #4713389

Radix Representation

Decimal 4713363
Binary 10001111110101110010011 (23 bits)
Octal 0o21765623
Hexadecimal 0x47EB93

Divisor Catalog (8)

1 3 9 27 174,569 523,707 1,571,121 4,713,363

Collatz Trajectory (131 steps to reach 1)

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

4,713,363 14,140,090 7,070,045 21,210,136 10,605,068 5,302,534 2,651,267 7,953,802 3,976,901 11,930,704 5,965,352 2,982,676 1,491,338 745,669 2,237,008 1,118,504 559,252 279,626 139,813 419,440 209,720 104,860 52,430 26,215 78,646 39,323 117,970 58,985 176,956 88,478 44,239 132,718 66,359 199,078 99,539 298,618 149,309 447,928 223,964 111,982 55,991 167,974 83,987 251,962 125,981 377,944 188,972 94,486 47,243 141,730 70,865 212,596 106,298 53,149 159,448 79,724 39,862 19,931 59,794 29,897

More profiles

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