λ
Prime Ledger

7,487,825

52 × 299513
Deficient Odd Composite

7,487,825 has the prime decomposition 5^2 × 299513. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 299513
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,284,934
Proper Divisor Sum 1,797,109
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7487819 ← → #7487827

Radix Representation

Decimal 7487825
Binary 11100100100000101010001 (23 bits)
Octal 0o34440521
Hexadecimal 0x724151

Divisor Catalog (6)

1 5 25 299,513 1,497,565 7,487,825

Collatz Trajectory (142 steps to reach 1)

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

7,487,825 22,463,476 11,231,738 5,615,869 16,847,608 8,423,804 4,211,902 2,105,951 6,317,854 3,158,927 9,476,782 4,738,391 14,215,174 7,107,587 21,322,762 10,661,381 31,984,144 15,992,072 7,996,036 3,998,018 1,999,009 5,997,028 2,998,514 1,499,257 4,497,772 2,248,886 1,124,443 3,373,330 1,686,665 5,059,996 2,529,998 1,264,999 3,794,998 1,897,499 5,692,498 2,846,249 8,538,748 4,269,374 2,134,687 6,404,062 3,202,031 9,606,094 4,803,047 14,409,142 7,204,571 21,613,714 10,806,857 32,420,572 16,210,286 8,105,143 24,315,430 12,157,715 36,473,146 18,236,573 54,709,720 27,354,860 13,677,430 6,838,715 20,516,146 10,258,073

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