λ
Ratio Atlas

36,948,287

36948287
Deficient Odd Prime

36,948,287 factors as 36948287. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 36948287
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 36,948,288
Proper Divisor Sum 1
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #36948271 ← → #36948299

Radix Representation

Decimal 36948287
Binary 10001100111100100100111111 (26 bits)
Octal 0o214744477
Hexadecimal 0x233C93F

Divisor Catalog (2)

Collatz Trajectory (227 steps to reach 1)

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

36,948,287 110,844,862 55,422,431 166,267,294 83,133,647 249,400,942 124,700,471 374,101,414 187,050,707 561,152,122 280,576,061 841,728,184 420,864,092 210,432,046 105,216,023 315,648,070 157,824,035 473,472,106 236,736,053 710,208,160 355,104,080 177,552,040 88,776,020 44,388,010 22,194,005 66,582,016 33,291,008 16,645,504 8,322,752 4,161,376 2,080,688 1,040,344 520,172 260,086 130,043 390,130 195,065 585,196 292,598 146,299 438,898 219,449 658,348 329,174 164,587 493,762 246,881 740,644 370,322 185,161 555,484 277,742 138,871 416,614 208,307 624,922 312,461 937,384 468,692 234,346

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