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Atlas › Integer Profiles › Node 36,975,352

36,975,352

23 × 23 × 103 × 1951
Deficient Even Composite

36,975,352 factors as 2^3 × 23 × 103 × 1951. Its 32 positive divisors give a proper-divisor sum of 36,107,528, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 103 × 1951
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 73,082,880
Proper Divisor Sum 36,107,528
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #36975347 ← → #36975353

Radix Representation

Decimal 36975352
Binary 10001101000011001011111000 (26 bits)
Octal 0o215031370
Hexadecimal 0x23432F8

Divisor Catalog (32)

1 2 4 8 23 46 92 103 184 206 412 824 1,951 2,369 3,902 4,738 7,804 9,476 15,608 18,952 44,873 89,746 179,492 200,953 358,984 401,906 803,812 1,607,624 4,621,919 9,243,838 18,487,676 36,975,352

Collatz Trajectory (196 steps to reach 1)

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

36,975,352 18,487,676 9,243,838 4,621,919 13,865,758 6,932,879 20,798,638 10,399,319 31,197,958 15,598,979 46,796,938 23,398,469 70,195,408 35,097,704 17,548,852 8,774,426 4,387,213 13,161,640 6,580,820 3,290,410 1,645,205 4,935,616 2,467,808 1,233,904 616,952 308,476 154,238 77,119 231,358 115,679 347,038 173,519 520,558 260,279 780,838 390,419 1,171,258 585,629 1,756,888 878,444 439,222 219,611 658,834 329,417 988,252 494,126 247,063 741,190 370,595 1,111,786 555,893 1,667,680 833,840 416,920 208,460 104,230 52,115 156,346 78,173 234,520

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