3,735,842

2 × 11 × 47 × 3613

For 3,735,842, the 16 positive divisors have a total of 6,244,992. Removing 3,735,842 leaves 2,509,150, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 11 × 47 × 3613

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,244,992

Proper Divisor Sum 2,509,150

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3735833 ← → #3735847

Radix Representation

Decimal	3735842
Binary	1110010000000100100010 (22 bits)
Octal	0o16200442
Hexadecimal	0x390122

Divisor Catalog (16)

1 2 11 22 47 94 517 1,034 3,613 7,226 39,743 79,486 169,811 339,622 1,867,921 3,735,842

Collatz Trajectory (97 steps to reach 1)

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

3,735,842 1,867,921 5,603,764 2,801,882 1,400,941 4,202,824 2,101,412 1,050,706 525,353 1,576,060 788,030 394,015 1,182,046 591,023 1,773,070 886,535 2,659,606 1,329,803 3,989,410 1,994,705 5,984,116 2,992,058 1,496,029 4,488,088 2,244,044 1,122,022 561,011 1,683,034 841,517 2,524,552 1,262,276 631,138 315,569 946,708 473,354 236,677 710,032 355,016 177,508 88,754 44,377 133,132 66,566 33,283 99,850 49,925 149,776 74,888 37,444 18,722 9,361 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950

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