3,960,970

2 × 5 × 13 × 30469

3,960,970 factors as 2 × 5 × 13 × 30469. Its 16 positive divisors give a proper-divisor sum of 3,717,470, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 30469

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,678,440

Proper Divisor Sum 3,717,470

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3960967 ← → #3960977

Radix Representation

Decimal	3960970
Binary	1111000111000010001010 (22 bits)
Octal	0o17070212
Hexadecimal	0x3C708A

Divisor Catalog (16)

1 2 5 10 13 26 65 130 30,469 60,938 152,345 304,690 396,097 792,194 1,980,485 3,960,970

Collatz Trajectory (123 steps to reach 1)

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

3,960,970 1,980,485 5,941,456 2,970,728 1,485,364 742,682 371,341 1,114,024 557,012 278,506 139,253 417,760 208,880 104,440 52,220 26,110 13,055 39,166 19,583 58,750 29,375 88,126 44,063 132,190 66,095 198,286 99,143 297,430 148,715 446,146 223,073 669,220 334,610 167,305 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108 59,554 29,777 89,332 44,666 22,333 67,000 33,500 16,750 8,375 25,126

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