5,877,807

3 × 13 × 29 × 5197

5,877,807 factors as 3 × 13 × 29 × 5197. Its 16 positive divisors give a proper-divisor sum of 2,854,833, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3 × 13 × 29 × 5197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,732,640

Proper Divisor Sum 2,854,833

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #5877797 ← → #5877829

Radix Representation

Decimal	5877807
Binary	10110011011000000101111 (23 bits)
Octal	0o26330057
Hexadecimal	0x59B02F

Divisor Catalog (16)

1 3 13 29 39 87 377 1,131 5,197 15,591 67,561 150,713 202,683 452,139 1,959,269 5,877,807

Collatz Trajectory (152 steps to reach 1)

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

5,877,807 17,633,422 8,816,711 26,450,134 13,225,067 39,675,202 19,837,601 59,512,804 29,756,402 14,878,201 44,634,604 22,317,302 11,158,651 33,475,954 16,737,977 50,213,932 25,106,966 12,553,483 37,660,450 18,830,225 56,490,676 28,245,338 14,122,669 42,368,008 21,184,004 10,592,002 5,296,001 15,888,004 7,944,002 3,972,001 11,916,004 5,958,002 2,979,001 8,937,004 4,468,502 2,234,251 6,702,754 3,351,377 10,054,132 5,027,066 2,513,533 7,540,600 3,770,300 1,885,150 942,575 2,827,726 1,413,863 4,241,590 2,120,795 6,362,386 3,181,193 9,543,580 4,771,790 2,385,895 7,157,686 3,578,843 10,736,530 5,368,265 16,104,796 8,052,398

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