λ
Harmonic Matrix

5,096,875

55 × 7 × 233
Deficient Odd Composite

5,096,875 has digital root 4. The neighboring primes are 5096873 and 5096879; its proper-divisor sum differs from the starting integer by -2,881,718.

Prime Factor Structure

Factorization String 5^5 × 7 × 233
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,312,032
Proper Divisor Sum 2,215,157
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5096873 ← → #5096879

Radix Representation

Decimal 5096875
Binary 10011011100010110101011 (23 bits)
Octal 0o23342653
Hexadecimal 0x4DC5AB

Divisor Catalog (24)

1 5 7 25 35 125 175 233 625 875 1,165 1,631 3,125 4,375 5,825 8,155 21,875 29,125 40,775 145,625 203,875 728,125 1,019,375 5,096,875

Collatz Trajectory (206 steps to reach 1)

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

5,096,875 15,290,626 7,645,313 22,935,940 11,467,970 5,733,985 17,201,956 8,600,978 4,300,489 12,901,468 6,450,734 3,225,367 9,676,102 4,838,051 14,514,154 7,257,077 21,771,232 10,885,616 5,442,808 2,721,404 1,360,702 680,351 2,041,054 1,020,527 3,061,582 1,530,791 4,592,374 2,296,187 6,888,562 3,444,281 10,332,844 5,166,422 2,583,211 7,749,634 3,874,817 11,624,452 5,812,226 2,906,113 8,718,340 4,359,170 2,179,585 6,538,756 3,269,378 1,634,689 4,904,068 2,452,034 1,226,017 3,678,052 1,839,026 919,513 2,758,540 1,379,270 689,635 2,068,906 1,034,453 3,103,360 1,551,680 775,840 387,920 193,960

More profiles

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