λ
Ratio Atlas

71,978,239

71978239
Deficient Odd Prime

71,978,239 factors as 71978239. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 71978239
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 71,978,240
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #71978189 ← → #71978287

Radix Representation

Decimal 71978239
Binary 100010010100100110011111111 (27 bits)
Octal 0o422446377
Hexadecimal 0x44A4CFF

Divisor Catalog (2)

Collatz Trajectory (259 steps to reach 1)

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

71,978,239 215,934,718 107,967,359 323,902,078 161,951,039 485,853,118 242,926,559 728,779,678 364,389,839 1,093,169,518 546,584,759 1,639,754,278 819,877,139 2,459,631,418 1,229,815,709 3,689,447,128 1,844,723,564 922,361,782 461,180,891 1,383,542,674 691,771,337 2,075,314,012 1,037,657,006 518,828,503 1,556,485,510 778,242,755 2,334,728,266 1,167,364,133 3,502,092,400 1,751,046,200 875,523,100 437,761,550 218,880,775 656,642,326 328,321,163 984,963,490 492,481,745 1,477,445,236 738,722,618 369,361,309 1,108,083,928 554,041,964 277,020,982 138,510,491 415,531,474 207,765,737 623,297,212 311,648,606 155,824,303 467,472,910 233,736,455 701,209,366 350,604,683 1,051,814,050 525,907,025 1,577,721,076 788,860,538 394,430,269 1,183,290,808 591,645,404

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