4,091,504

2⁴ × 31 × 73 × 113

4,091,504 factors as 2^4 × 31 × 73 × 113. Its 40 positive divisors give a proper-divisor sum of 4,277,008, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 73 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,368,512

Proper Divisor Sum 4,277,008

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4091471 ← → #4091537

Radix Representation

Decimal	4091504
Binary	1111100110111001110000 (22 bits)
Octal	0o17467160
Hexadecimal	0x3E6E70

Divisor Catalog (40)

1 2 4 8 16 31 62 73 113 124 146 226 248 292 452 496 584 904 1,168 1,808 2,263 3,503 4,526 7,006 8,249 9,052 14,012 16,498 18,104 28,024 32,996 36,208 56,048 65,992 131,984 255,719 511,438 1,022,876 2,045,752 4,091,504

Collatz Trajectory (105 steps to reach 1)

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

4,091,504 2,045,752 1,022,876 511,438 255,719 767,158 383,579 1,150,738 575,369 1,726,108 863,054 431,527 1,294,582 647,291 1,941,874 970,937 2,912,812 1,456,406 728,203 2,184,610 1,092,305 3,276,916 1,638,458 819,229 2,457,688 1,228,844 614,422 307,211 921,634 460,817 1,382,452 691,226 345,613 1,036,840 518,420 259,210 129,605 388,816 194,408 97,204 48,602 24,301 72,904 36,452 18,226 9,113 27,340 13,670 6,835 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721

← Previous Integer #4,091,503 Browse Full Index Next Integer #4,091,505 →