λ
Math Directory

2,501,087

193 × 12959
Deficient Odd Composite

2,501,087 factors as 193 × 12959. Its 4 positive divisors give a proper-divisor sum of 13,153, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 193 × 12959
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,514,240
Proper Divisor Sum 13,153
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2501077 ← → #2501099

Radix Representation

Decimal 2501087
Binary 1001100010100111011111 (22 bits)
Octal 0o11424737
Hexadecimal 0x2629DF

Divisor Catalog (4)

1 193 12,959 2,501,087

Collatz Trajectory (187 steps to reach 1)

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

2,501,087 7,503,262 3,751,631 11,254,894 5,627,447 16,882,342 8,441,171 25,323,514 12,661,757 37,985,272 18,992,636 9,496,318 4,748,159 14,244,478 7,122,239 21,366,718 10,683,359 32,050,078 16,025,039 48,075,118 24,037,559 72,112,678 36,056,339 108,169,018 54,084,509 162,253,528 81,126,764 40,563,382 20,281,691 60,845,074 30,422,537 91,267,612 45,633,806 22,816,903 68,450,710 34,225,355 102,676,066 51,338,033 154,014,100 77,007,050 38,503,525 115,510,576 57,755,288 28,877,644 14,438,822 7,219,411 21,658,234 10,829,117 32,487,352 16,243,676 8,121,838 4,060,919 12,182,758 6,091,379 18,274,138 9,137,069 27,411,208 13,705,604 6,852,802 3,426,401

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