λ
Ratio Atlas

12,907,007

12907007
Deficient Odd Prime

12,907,007 factors as 12907007. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 378 steps.

Prime Factor Structure

Factorization String 12907007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 12,907,008
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #12906977 ← → #12907021

Radix Representation

Decimal 12907007
Binary 110001001111000111111111 (24 bits)
Octal 0o61170777
Hexadecimal 0xC4F1FF

Divisor Catalog (2)

Collatz Trajectory (378 steps to reach 1)

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

12,907,007 38,721,022 19,360,511 58,081,534 29,040,767 87,122,302 43,561,151 130,683,454 65,341,727 196,025,182 98,012,591 294,037,774 147,018,887 441,056,662 220,528,331 661,584,994 330,792,497 992,377,492 496,188,746 248,094,373 744,283,120 372,141,560 186,070,780 93,035,390 46,517,695 139,553,086 69,776,543 209,329,630 104,664,815 313,994,446 156,997,223 470,991,670 235,495,835 706,487,506 353,243,753 1,059,731,260 529,865,630 264,932,815 794,798,446 397,399,223 1,192,197,670 596,098,835 1,788,296,506 894,148,253 2,682,444,760 1,341,222,380 670,611,190 335,305,595 1,005,916,786 502,958,393 1,508,875,180 754,437,590 377,218,795 1,131,656,386 565,828,193 1,697,484,580 848,742,290 424,371,145 1,273,113,436 636,556,718

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