7,445,126

2 × 13² × 22027

7,445,126 factors as 2 × 13^2 × 22027. Its 12 positive divisors give a proper-divisor sum of 4,648,246, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 22027

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,093,372

Proper Divisor Sum 4,648,246

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7445047 ← → #7445159

Radix Representation

Decimal	7445126
Binary	11100011001101010000110 (23 bits)
Octal	0o34315206
Hexadecimal	0x719A86

Divisor Catalog (12)

1 2 13 26 169 338 22,027 44,054 286,351 572,702 3,722,563 7,445,126

Collatz Trajectory (142 steps to reach 1)

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

7,445,126 3,722,563 11,167,690 5,583,845 16,751,536 8,375,768 4,187,884 2,093,942 1,046,971 3,140,914 1,570,457 4,711,372 2,355,686 1,177,843 3,533,530 1,766,765 5,300,296 2,650,148 1,325,074 662,537 1,987,612 993,806 496,903 1,490,710 745,355 2,236,066 1,118,033 3,354,100 1,677,050 838,525 2,515,576 1,257,788 628,894 314,447 943,342 471,671 1,415,014 707,507 2,122,522 1,061,261 3,183,784 1,591,892 795,946 397,973 1,193,920 596,960 298,480 149,240 74,620 37,310 18,655 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445 283,336

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