7,800,167

47 × 165961

7,800,167 factors as 47 × 165961. Its 4 positive divisors give a proper-divisor sum of 166,009, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 47 × 165961

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,966,176

Proper Divisor Sum 166,009

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7800139 ← → #7800179

Radix Representation

Decimal	7800167
Binary	11101110000010101100111 (23 bits)
Octal	0o35602547
Hexadecimal	0x770567

Divisor Catalog (4)

1 47 165,961 7,800,167

Collatz Trajectory (248 steps to reach 1)

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

7,800,167 23,400,502 11,700,251 35,100,754 17,550,377 52,651,132 26,325,566 13,162,783 39,488,350 19,744,175 59,232,526 29,616,263 88,848,790 44,424,395 133,273,186 66,636,593 199,909,780 99,954,890 49,977,445 149,932,336 74,966,168 37,483,084 18,741,542 9,370,771 28,112,314 14,056,157 42,168,472 21,084,236 10,542,118 5,271,059 15,813,178 7,906,589 23,719,768 11,859,884 5,929,942 2,964,971 8,894,914 4,447,457 13,342,372 6,671,186 3,335,593 10,006,780 5,003,390 2,501,695 7,505,086 3,752,543 11,257,630 5,628,815 16,886,446 8,443,223 25,329,670 12,664,835 37,994,506 18,997,253 56,991,760 28,495,880 14,247,940 7,123,970 3,561,985 10,685,956

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