λ
Harmonic Matrix

5,035,744

25 × 7 × 22481
Abundant Even Composite

5,035,744 has digital root 1. The neighboring primes are 5035739 and 5035747; its proper-divisor sum differs from the starting integer by 1,259,440.

Prime Factor Structure

Factorization String 2^5 × 7 × 22481
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,330,928
Proper Divisor Sum 6,295,184
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5035739 ← → #5035747

Radix Representation

Decimal 5035744
Binary 10011001101011011100000 (23 bits)
Octal 0o23153340
Hexadecimal 0x4CD6E0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 22,481 44,962 89,924 157,367 179,848 314,734 359,696 629,468 719,392 1,258,936 2,517,872 5,035,744

Collatz Trajectory (157 steps to reach 1)

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

5,035,744 2,517,872 1,258,936 629,468 314,734 157,367 472,102 236,051 708,154 354,077 1,062,232 531,116 265,558 132,779 398,338 199,169 597,508 298,754 149,377 448,132 224,066 112,033 336,100 168,050 84,025 252,076 126,038 63,019 189,058 94,529 283,588 141,794 70,897 212,692 106,346 53,173 159,520 79,760 39,880 19,940 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954

More profiles

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