λ
Harmonic Matrix

5,055,401

13 × 233 × 1669
Deficient Odd Composite

5,055,401 has digital root 2. The neighboring primes are 5055397 and 5055403; its proper-divisor sum differs from the starting integer by -4,639,882.

Prime Factor Structure

Factorization String 13 × 233 × 1669
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,470,920
Proper Divisor Sum 415,519
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5055397 ← → #5055403

Radix Representation

Decimal 5055401
Binary 10011010010001110101001 (23 bits)
Octal 0o23221651
Hexadecimal 0x4D23A9

Divisor Catalog (8)

1 13 233 1,669 3,029 21,697 388,877 5,055,401

Collatz Trajectory (237 steps to reach 1)

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

5,055,401 15,166,204 7,583,102 3,791,551 11,374,654 5,687,327 17,061,982 8,530,991 25,592,974 12,796,487 38,389,462 19,194,731 57,584,194 28,792,097 86,376,292 43,188,146 21,594,073 64,782,220 32,391,110 16,195,555 48,586,666 24,293,333 72,880,000 36,440,000 18,220,000 9,110,000 4,555,000 2,277,500 1,138,750 569,375 1,708,126 854,063 2,562,190 1,281,095 3,843,286 1,921,643 5,764,930 2,882,465 8,647,396 4,323,698 2,161,849 6,485,548 3,242,774 1,621,387 4,864,162 2,432,081 7,296,244 3,648,122 1,824,061 5,472,184 2,736,092 1,368,046 684,023 2,052,070 1,026,035 3,078,106 1,539,053 4,617,160 2,308,580 1,154,290

More profiles

← Previous Integer #5,055,400 Browse Full Index Next Integer #5,055,402 →