3,735,629

73² × 701

For 3,735,629, the 6 positive divisors have a total of 3,792,906. Removing 3,735,629 leaves 57,277, which gives the deficient classification.

Prime Factor Structure

Factorization String 73^2 × 701

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,792,906

Proper Divisor Sum 57,277

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3735619 ← → #3735649

Radix Representation

Decimal	3735629
Binary	1110010000000001001101 (22 bits)
Octal	0o16200115
Hexadecimal	0x39004D

Divisor Catalog (6)

1 73 701 5,329 51,173 3,735,629

Collatz Trajectory (97 steps to reach 1)

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

3,735,629 11,206,888 5,603,444 2,801,722 1,400,861 4,202,584 2,101,292 1,050,646 525,323 1,575,970 787,985 2,363,956 1,181,978 590,989 1,772,968 886,484 443,242 221,621 664,864 332,432 166,216 83,108 41,554 20,777 62,332 31,166 15,583 46,750 23,375 70,126 35,063 105,190 52,595 157,786 78,893 236,680 118,340 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704

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