8,413,741

7² × 29 × 31 × 191

8,413,741 has digital root 1. The neighboring primes are 8413739 and 8413747; its proper-divisor sum differs from the starting integer by -6,321,242.

Prime Factor Structure

Factorization String 7^2 × 29 × 31 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,506,240

Proper Divisor Sum 2,092,499

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8413739 ← → #8413747

Radix Representation

Decimal	8413741
Binary	100000000110001000101101 (24 bits)
Octal	0o40061055
Hexadecimal	0x80622D

Divisor Catalog (24)

1 7 29 31 49 191 203 217 899 1,337 1,421 1,519 5,539 5,921 6,293 9,359 38,773 41,447 44,051 171,709 271,411 290,129 1,201,963 8,413,741

Collatz Trajectory (106 steps to reach 1)

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

8,413,741 25,241,224 12,620,612 6,310,306 3,155,153 9,465,460 4,732,730 2,366,365 7,099,096 3,549,548 1,774,774 887,387 2,662,162 1,331,081 3,993,244 1,996,622 998,311 2,994,934 1,497,467 4,492,402 2,246,201 6,738,604 3,369,302 1,684,651 5,053,954 2,526,977 7,580,932 3,790,466 1,895,233 5,685,700 2,842,850 1,421,425 4,264,276 2,132,138 1,066,069 3,198,208 1,599,104 799,552 399,776 199,888 99,944 49,972 24,986 12,493 37,480 18,740 9,370 4,685 14,056 7,028 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484

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