λ
Harmonic Matrix

5,307,604

22 × 17 × 89 × 877
Deficient Even Composite

5,307,604 has digital root 7. The neighboring primes are 5307563 and 5307607; its proper-divisor sum differs from the starting integer by -658,688.

Prime Factor Structure

Factorization String 2^2 × 17 × 89 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,956,520
Proper Divisor Sum 4,648,916
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5307563 ← → #5307607

Radix Representation

Decimal 5307604
Binary 10100001111110011010100 (23 bits)
Octal 0o24176324
Hexadecimal 0x50FCD4

Divisor Catalog (24)

1 2 4 17 34 68 89 178 356 877 1,513 1,754 3,026 3,508 6,052 14,909 29,818 59,636 78,053 156,106 312,212 1,326,901 2,653,802 5,307,604

Collatz Trajectory (157 steps to reach 1)

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

5,307,604 2,653,802 1,326,901 3,980,704 1,990,352 995,176 497,588 248,794 124,397 373,192 186,596 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447 67,342 33,671

More profiles

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