4,076,007

3 × 13 × 104513

4,076,007 factors as 3 × 13 × 104513. Its 8 positive divisors give a proper-divisor sum of 1,776,777, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3 × 13 × 104513

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,852,784

Proper Divisor Sum 1,776,777

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4076003 ← → #4076021

Radix Representation

Decimal	4076007
Binary	1111100011000111100111 (22 bits)
Octal	0o17430747
Hexadecimal	0x3E31E7

Divisor Catalog (8)

1 3 13 39 104,513 313,539 1,358,669 4,076,007

Collatz Trajectory (229 steps to reach 1)

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

4,076,007 12,228,022 6,114,011 18,342,034 9,171,017 27,513,052 13,756,526 6,878,263 20,634,790 10,317,395 30,952,186 15,476,093 46,428,280 23,214,140 11,607,070 5,803,535 17,410,606 8,705,303 26,115,910 13,057,955 39,173,866 19,586,933 58,760,800 29,380,400 14,690,200 7,345,100 3,672,550 1,836,275 5,508,826 2,754,413 8,263,240 4,131,620 2,065,810 1,032,905 3,098,716 1,549,358 774,679 2,324,038 1,162,019 3,486,058 1,743,029 5,229,088 2,614,544 1,307,272 653,636 326,818 163,409 490,228 245,114 122,557 367,672 183,836 91,918 45,959 137,878 68,939 206,818 103,409 310,228 155,114

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