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2,541,525

3 × 52 × 7 × 47 × 103
Deficient Odd Composite

2,541,525 factors as 3 × 5^2 × 7 × 47 × 103. Its 48 positive divisors give a proper-divisor sum of 2,410,539, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 47 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,952,064
Proper Divisor Sum 2,410,539
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2541503 ← → #2541527

Radix Representation

Decimal 2541525
Binary 1001101100011111010101 (22 bits)
Octal 0o11543725
Hexadecimal 0x26C7D5

Divisor Catalog (48)

1 3 5 7 15 21 25 35 47 75 103 105 141 175 235 309 329 515 525 705 721 987 1,175 1,545 1,645 2,163 2,575 3,525 3,605 4,841 4,935 7,725 8,225 10,815 14,523 18,025 24,205 24,675 33,887 54,075 72,615 101,661 121,025 169,435 363,075 508,305 847,175 2,541,525

Collatz Trajectory (156 steps to reach 1)

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

2,541,525 7,624,576 3,812,288 1,906,144 953,072 476,536 238,268 119,134 59,567 178,702 89,351 268,054 134,027 402,082 201,041 603,124 301,562 150,781 452,344 226,172 113,086 56,543 169,630 84,815 254,446 127,223 381,670 190,835 572,506 286,253 858,760 429,380 214,690 107,345 322,036 161,018 80,509 241,528 120,764 60,382 30,191 90,574 45,287 135,862 67,931 203,794 101,897 305,692 152,846 76,423 229,270 114,635 343,906 171,953 515,860 257,930 128,965 386,896 193,448 96,724

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