2,502,626

2 × 7² × 25537

2,502,626 factors as 2 × 7^2 × 25537. Its 12 positive divisors give a proper-divisor sum of 1,864,372, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 25537

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,366,998

Proper Divisor Sum 1,864,372

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2502593 ← → #2502629

Radix Representation

Decimal	2502626
Binary	1001100010111111100010 (22 bits)
Octal	0o11427742
Hexadecimal	0x262FE2

Divisor Catalog (12)

1 2 7 14 49 98 25,537 51,074 178,759 357,518 1,251,313 2,502,626

Collatz Trajectory (112 steps to reach 1)

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

2,502,626 1,251,313 3,753,940 1,876,970 938,485 2,815,456 1,407,728 703,864 351,932 175,966 87,983 263,950 131,975 395,926 197,963 593,890 296,945 890,836 445,418 222,709 668,128 334,064 167,032 83,516 41,758 20,879 62,638 31,319 93,958 46,979 140,938 70,469 211,408 105,704 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880

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