λ
Ratio Atlas

30,736,623

3 × 192 × 101 × 281
Deficient Odd Composite

30,736,623 factors as 3 × 19^2 × 101 × 281. Its 24 positive divisors give a proper-divisor sum of 13,099,713, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 3 × 19^2 × 101 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 43,836,336
Proper Divisor Sum 13,099,713
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #30736571 ← → #30736639

Radix Representation

Decimal 30736623
Binary 1110101010000000011101111 (25 bits)
Octal 0o165200357
Hexadecimal 0x1D500EF

Divisor Catalog (24)

Collatz Trajectory (237 steps to reach 1)

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

30,736,623 92,209,870 46,104,935 138,314,806 69,157,403 207,472,210 103,736,105 311,208,316 155,604,158 77,802,079 233,406,238 116,703,119 350,109,358 175,054,679 525,164,038 262,582,019 787,746,058 393,873,029 1,181,619,088 590,809,544 295,404,772 147,702,386 73,851,193 221,553,580 110,776,790 55,388,395 166,165,186 83,082,593 249,247,780 124,623,890 62,311,945 186,935,836 93,467,918 46,733,959 140,201,878 70,100,939 210,302,818 105,151,409 315,454,228 157,727,114 78,863,557 236,590,672 118,295,336 59,147,668 29,573,834 14,786,917 44,360,752 22,180,376 11,090,188 5,545,094 2,772,547 8,317,642 4,158,821 12,476,464 6,238,232 3,119,116 1,559,558 779,779 2,339,338 1,169,669

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