λ
Harmonic Matrix

5,377,275

32 × 52 × 23899
Deficient Odd Composite

5,377,275 has digital root 9. The neighboring primes are 5377243 and 5377289; its proper-divisor sum differs from the starting integer by -1,122,850.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 23899
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 9,631,700
Proper Divisor Sum 4,254,425
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5377243 ← → #5377289

Radix Representation

Decimal 5377275
Binary 10100100000110011111011 (23 bits)
Octal 0o24406373
Hexadecimal 0x520CFB

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 23,899 71,697 119,495 215,091 358,485 597,475 1,075,455 1,792,425 5,377,275

Collatz Trajectory (232 steps to reach 1)

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

5,377,275 16,131,826 8,065,913 24,197,740 12,098,870 6,049,435 18,148,306 9,074,153 27,222,460 13,611,230 6,805,615 20,416,846 10,208,423 30,625,270 15,312,635 45,937,906 22,968,953 68,906,860 34,453,430 17,226,715 51,680,146 25,840,073 77,520,220 38,760,110 19,380,055 58,140,166 29,070,083 87,210,250 43,605,125 130,815,376 65,407,688 32,703,844 16,351,922 8,175,961 24,527,884 12,263,942 6,131,971 18,395,914 9,197,957 27,593,872 13,796,936 6,898,468 3,449,234 1,724,617 5,173,852 2,586,926 1,293,463 3,880,390 1,940,195 5,820,586 2,910,293 8,730,880 4,365,440 2,182,720 1,091,360 545,680 272,840 136,420 68,210 34,105

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