λ
Harmonic Matrix

4,952,425

52 × 198097
Deficient Odd Composite

4,952,425 has digital root 4. The neighboring primes are 4952399 and 4952443; its proper-divisor sum differs from the starting integer by -3,763,812.

Prime Factor Structure

Factorization String 5^2 × 198097
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,141,038
Proper Divisor Sum 1,188,613
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4952399 ← → #4952443

Radix Representation

Decimal 4952425
Binary 10010111001000101101001 (23 bits)
Octal 0o22710551
Hexadecimal 0x4B9169

Divisor Catalog (6)

1 5 25 198,097 990,485 4,952,425

Collatz Trajectory (144 steps to reach 1)

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

4,952,425 14,857,276 7,428,638 3,714,319 11,142,958 5,571,479 16,714,438 8,357,219 25,071,658 12,535,829 37,607,488 18,803,744 9,401,872 4,700,936 2,350,468 1,175,234 587,617 1,762,852 881,426 440,713 1,322,140 661,070 330,535 991,606 495,803 1,487,410 743,705 2,231,116 1,115,558 557,779 1,673,338 836,669 2,510,008 1,255,004 627,502 313,751 941,254 470,627 1,411,882 705,941 2,117,824 1,058,912 529,456 264,728 132,364 66,182 33,091 99,274 49,637 148,912 74,456 37,228 18,614 9,307 27,922 13,961 41,884 20,942 10,471 31,414

More profiles

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