7,548,842

2 × 7² × 77029

7,548,842 factors as 2 × 7^2 × 77029. Its 12 positive divisors give a proper-divisor sum of 5,623,288, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 77029

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,172,130

Proper Divisor Sum 5,623,288

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7548839 ← → #7548847

Radix Representation

Decimal	7548842
Binary	11100110010111110101010 (23 bits)
Octal	0o34627652
Hexadecimal	0x732FAA

Divisor Catalog (12)

1 2 7 14 49 98 77,029 154,058 539,203 1,078,406 3,774,421 7,548,842

Collatz Trajectory (142 steps to reach 1)

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

7,548,842 3,774,421 11,323,264 5,661,632 2,830,816 1,415,408 707,704 353,852 176,926 88,463 265,390 132,695 398,086 199,043 597,130 298,565 895,696 447,848 223,924 111,962 55,981 167,944 83,972 41,986 20,993 62,980 31,490 15,745 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990

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