λ
Sequence Observatory

3,971,595

3 × 5 × 149 × 1777
Deficient Odd Composite

Starting at 3,971,595, the Collatz iteration reaches 1 after 198 steps. The first transition is 11914786; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 149 × 1777
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,400,800
Proper Divisor Sum 2,429,205
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3971587 ← → #3971599

Radix Representation

Decimal 3971595
Binary 1111001001101000001011 (22 bits)
Octal 0o17115013
Hexadecimal 0x3C9A0B

Divisor Catalog (16)

1 3 5 15 149 447 745 1,777 2,235 5,331 8,885 26,655 264,773 794,319 1,323,865 3,971,595

Collatz Trajectory (198 steps to reach 1)

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

3,971,595 11,914,786 5,957,393 17,872,180 8,936,090 4,468,045 13,404,136 6,702,068 3,351,034 1,675,517 5,026,552 2,513,276 1,256,638 628,319 1,884,958 942,479 2,827,438 1,413,719 4,241,158 2,120,579 6,361,738 3,180,869 9,542,608 4,771,304 2,385,652 1,192,826 596,413 1,789,240 894,620 447,310 223,655 670,966 335,483 1,006,450 503,225 1,509,676 754,838 377,419 1,132,258 566,129 1,698,388 849,194 424,597 1,273,792 636,896 318,448 159,224 79,612 39,806 19,903 59,710 29,855 89,566 44,783 134,350 67,175 201,526 100,763 302,290 151,145

More profiles

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