λ
Ratio Atlas

37,213,751

37213751
Deficient Odd Prime

37,213,751 factors as 37213751. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 302 steps.

Prime Factor Structure

Factorization String 37213751
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 37,213,752
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #37213739 ← → #37213763

Radix Representation

Decimal 37213751
Binary 10001101111101011000110111 (26 bits)
Octal 0o215753067
Hexadecimal 0x237D637

Divisor Catalog (2)

Collatz Trajectory (302 steps to reach 1)

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

37,213,751 111,641,254 55,820,627 167,461,882 83,730,941 251,192,824 125,596,412 62,798,206 31,399,103 94,197,310 47,098,655 141,295,966 70,647,983 211,943,950 105,971,975 317,915,926 158,957,963 476,873,890 238,436,945 715,310,836 357,655,418 178,827,709 536,483,128 268,241,564 134,120,782 67,060,391 201,181,174 100,590,587 301,771,762 150,885,881 452,657,644 226,328,822 113,164,411 339,493,234 169,746,617 509,239,852 254,619,926 127,309,963 381,929,890 190,964,945 572,894,836 286,447,418 143,223,709 429,671,128 214,835,564 107,417,782 53,708,891 161,126,674 80,563,337 241,690,012 120,845,006 60,422,503 181,267,510 90,633,755 271,901,266 135,950,633 407,851,900 203,925,950 101,962,975 305,888,926

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