λ
Ratio Atlas

2,907,388

22 × 112 × 6007
Deficient Even Composite

2,907,388 factors as 2^2 × 11^2 × 6007. Its 18 positive divisors give a proper-divisor sum of 2,686,060, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 6007
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 5,593,448
Proper Divisor Sum 2,686,060
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2907383 ← → #2907389

Radix Representation

Decimal 2907388
Binary 1011000101110011111100 (22 bits)
Octal 0o13056374
Hexadecimal 0x2C5CFC

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 6,007 12,014 24,028 66,077 132,154 264,308 726,847 1,453,694 2,907,388

Collatz Trajectory (107 steps to reach 1)

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

2,907,388 1,453,694 726,847 2,180,542 1,090,271 3,270,814 1,635,407 4,906,222 2,453,111 7,359,334 3,679,667 11,039,002 5,519,501 16,558,504 8,279,252 4,139,626 2,069,813 6,209,440 3,104,720 1,552,360 776,180 388,090 194,045 582,136 291,068 145,534 72,767 218,302 109,151 327,454 163,727 491,182 245,591 736,774 368,387 1,105,162 552,581 1,657,744 828,872 414,436 207,218 103,609 310,828 155,414 77,707 233,122 116,561 349,684 174,842 87,421 262,264 131,132 65,566 32,783 98,350 49,175 147,526 73,763 221,290 110,645

More profiles

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