λ
Harmonic Matrix

5,330,337

3 × 1776779
Deficient Odd Composite

5,330,337 has digital root 6. The neighboring primes are 5330327 and 5330359; its proper-divisor sum differs from the starting integer by -3,553,554.

Prime Factor Structure

Factorization String 3 × 1776779
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,107,120
Proper Divisor Sum 1,776,783
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5330327 ← → #5330359

Radix Representation

Decimal 5330337
Binary 10100010101010110100001 (23 bits)
Octal 0o24252641
Hexadecimal 0x5155A1

Divisor Catalog (4)

1 3 1,776,779 5,330,337

Collatz Trajectory (95 steps to reach 1)

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

5,330,337 15,991,012 7,995,506 3,997,753 11,993,260 5,996,630 2,998,315 8,994,946 4,497,473 13,492,420 6,746,210 3,373,105 10,119,316 5,059,658 2,529,829 7,589,488 3,794,744 1,897,372 948,686 474,343 1,423,030 711,515 2,134,546 1,067,273 3,201,820 1,600,910 800,455 2,401,366 1,200,683 3,602,050 1,801,025 5,403,076 2,701,538 1,350,769 4,052,308 2,026,154 1,013,077 3,039,232 1,519,616 759,808 379,904 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157

More profiles

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