λ
Harmonic Matrix

5,379,311

7 × 431 × 1783
Deficient Odd Composite

5,379,311 has digital root 2. The neighboring primes are 5379287 and 5379359; its proper-divisor sum differs from the starting integer by -4,593,118.

Prime Factor Structure

Factorization String 7 × 431 × 1783
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,165,504
Proper Divisor Sum 786,193
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5379287 ← → #5379359

Radix Representation

Decimal 5379311
Binary 10100100001010011101111 (23 bits)
Octal 0o24412357
Hexadecimal 0x5214EF

Divisor Catalog (8)

Collatz Trajectory (201 steps to reach 1)

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

5,379,311 16,137,934 8,068,967 24,206,902 12,103,451 36,310,354 18,155,177 54,465,532 27,232,766 13,616,383 40,849,150 20,424,575 61,273,726 30,636,863 91,910,590 45,955,295 137,865,886 68,932,943 206,798,830 103,399,415 310,198,246 155,099,123 465,297,370 232,648,685 697,946,056 348,973,028 174,486,514 87,243,257 261,729,772 130,864,886 65,432,443 196,297,330 98,148,665 294,445,996 147,222,998 73,611,499 220,834,498 110,417,249 331,251,748 165,625,874 82,812,937 248,438,812 124,219,406 62,109,703 186,329,110 93,164,555 279,493,666 139,746,833 419,240,500 209,620,250 104,810,125 314,430,376 157,215,188 78,607,594 39,303,797 117,911,392 58,955,696 29,477,848 14,738,924 7,369,462

More profiles

Browse other published profiles and their separate link collections.

← Previous Integer #5,379,310 Browse Full Index Next Integer #5,379,312 →