6,417,021

3 × 13 × 37 × 4447

6,417,021 factors as 3 × 13 × 37 × 4447. Its 16 positive divisors give a proper-divisor sum of 3,048,323, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 3 × 13 × 37 × 4447

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,465,344

Proper Divisor Sum 3,048,323

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6417013 ← → #6417029

Radix Representation

Decimal	6417021
Binary	11000011110101001111101 (23 bits)
Octal	0o30365175
Hexadecimal	0x61EA7D

Divisor Catalog (16)

1 3 13 37 39 111 481 1,443 4,447 13,341 57,811 164,539 173,433 493,617 2,139,007 6,417,021

Collatz Trajectory (240 steps to reach 1)

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

6,417,021 19,251,064 9,625,532 4,812,766 2,406,383 7,219,150 3,609,575 10,828,726 5,414,363 16,243,090 8,121,545 24,364,636 12,182,318 6,091,159 18,273,478 9,136,739 27,410,218 13,705,109 41,115,328 20,557,664 10,278,832 5,139,416 2,569,708 1,284,854 642,427 1,927,282 963,641 2,890,924 1,445,462 722,731 2,168,194 1,084,097 3,252,292 1,626,146 813,073 2,439,220 1,219,610 609,805 1,829,416 914,708 457,354 228,677 686,032 343,016 171,508 85,754 42,877 128,632 64,316 32,158 16,079 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404 40,702

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