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Atlas › Integer Profiles › Node 16,675,929

16,675,929

33 × 17 × 47 × 773
Deficient Odd Composite

16,675,929 factors as 3^3 × 17 × 47 × 773. Its 32 positive divisors give a proper-divisor sum of 10,073,511, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3^3 × 17 × 47 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,749,440
Proper Divisor Sum 10,073,511
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #16675927 ← → #16675951

Radix Representation

Decimal 16675929
Binary 111111100111010001011001 (24 bits)
Octal 0o77472131
Hexadecimal 0xFE7459

Divisor Catalog (32)

1 3 9 17 27 47 51 141 153 423 459 773 799 1,269 2,319 2,397 6,957 7,191 13,141 20,871 21,573 36,331 39,423 108,993 118,269 326,979 354,807 617,627 980,937 1,852,881 5,558,643 16,675,929

Collatz Trajectory (107 steps to reach 1)

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

16,675,929 50,027,788 25,013,894 12,506,947 37,520,842 18,760,421 56,281,264 28,140,632 14,070,316 7,035,158 3,517,579 10,552,738 5,276,369 15,829,108 7,914,554 3,957,277 11,871,832 5,935,916 2,967,958 1,483,979 4,451,938 2,225,969 6,677,908 3,338,954 1,669,477 5,008,432 2,504,216 1,252,108 626,054 313,027 939,082 469,541 1,408,624 704,312 352,156 176,078 88,039 264,118 132,059 396,178 198,089 594,268 297,134 148,567 445,702 222,851 668,554 334,277 1,002,832 501,416 250,708 125,354 62,677 188,032 94,016 47,008 23,504 11,752 5,876 2,938

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