λ
Harmonic Matrix

5,624,197

1103 × 5099
Deficient Odd Composite

5,624,197 has digital root 7. The neighboring primes are 5624191 and 5624207; its proper-divisor sum differs from the starting integer by -5,617,994.

Prime Factor Structure

Factorization String 1103 × 5099
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,630,400
Proper Divisor Sum 6,203
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5624191 ← → #5624207

Radix Representation

Decimal 5624197
Binary 10101011101000110000101 (23 bits)
Octal 0o25350605
Hexadecimal 0x55D185

Divisor Catalog (4)

1 1,103 5,099 5,624,197

Collatz Trajectory (276 steps to reach 1)

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

5,624,197 16,872,592 8,436,296 4,218,148 2,109,074 1,054,537 3,163,612 1,581,806 790,903 2,372,710 1,186,355 3,559,066 1,779,533 5,338,600 2,669,300 1,334,650 667,325 2,001,976 1,000,988 500,494 250,247 750,742 375,371 1,126,114 563,057 1,689,172 844,586 422,293 1,266,880 633,440 316,720 158,360 79,180 39,590 19,795 59,386 29,693 89,080 44,540 22,270 11,135 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054

More profiles

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