λ
Zalai Atlas

8,597,428

22 × 7 × 472 × 139
Abundant Even Composite

8,597,428 has the prime decomposition 2^2 × 7 × 47^2 × 139. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 47^2 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,694,880
Proper Divisor Sum 9,097,452
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8597417 ← → #8597471

Radix Representation

Decimal 8597428
Binary 100000110010111110110100 (24 bits)
Octal 0o40627664
Hexadecimal 0x832FB4

Divisor Catalog (36)

1 2 4 7 14 28 47 94 139 188 278 329 556 658 973 1,316 1,946 2,209 3,892 4,418 6,533 8,836 13,066 15,463 26,132 30,926 45,731 61,852 91,462 182,924 307,051 614,102 1,228,204 2,149,357 4,298,714 8,597,428

Collatz Trajectory (256 steps to reach 1)

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

8,597,428 4,298,714 2,149,357 6,448,072 3,224,036 1,612,018 806,009 2,418,028 1,209,014 604,507 1,813,522 906,761 2,720,284 1,360,142 680,071 2,040,214 1,020,107 3,060,322 1,530,161 4,590,484 2,295,242 1,147,621 3,442,864 1,721,432 860,716 430,358 215,179 645,538 322,769 968,308 484,154 242,077 726,232 363,116 181,558 90,779 272,338 136,169 408,508 204,254 102,127 306,382 153,191 459,574 229,787 689,362 344,681 1,034,044 517,022 258,511 775,534 387,767 1,163,302 581,651 1,744,954 872,477 2,617,432 1,308,716 654,358 327,179

More profiles

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