36,723,352

2³ × 19 × 241601

36,723,352 factors as 2^3 × 19 × 241601. Its 16 positive divisors give a proper-divisor sum of 35,757,248, so this integer is deficient. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 241601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 72,480,600

Proper Divisor Sum 35,757,248

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #36723343 ← → #36723353

Radix Representation

Decimal	36723352
Binary	10001100000101101010011000 (26 bits)
Octal	0o214055230
Hexadecimal	0x2305A98

Divisor Catalog (16)

1 2 4 8 19 38 76 152 241,601 483,202 966,404 1,932,808 4,590,419 9,180,838 18,361,676 36,723,352

Collatz Trajectory (258 steps to reach 1)

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

36,723,352 18,361,676 9,180,838 4,590,419 13,771,258 6,885,629 20,656,888 10,328,444 5,164,222 2,582,111 7,746,334 3,873,167 11,619,502 5,809,751 17,429,254 8,714,627 26,143,882 13,071,941 39,215,824 19,607,912 9,803,956 4,901,978 2,450,989 7,352,968 3,676,484 1,838,242 919,121 2,757,364 1,378,682 689,341 2,068,024 1,034,012 517,006 258,503 775,510 387,755 1,163,266 581,633 1,744,900 872,450 436,225 1,308,676 654,338 327,169 981,508 490,754 245,377 736,132 368,066 184,033 552,100 276,050 138,025 414,076 207,038 103,519 310,558 155,279 465,838 232,919

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