λ
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6,513,232

24 × 11 × 23 × 1609
Abundant Even Composite

6,513,232 factors as 2^4 × 11 × 23 × 1609. Its 40 positive divisors give a proper-divisor sum of 7,860,848, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 23 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,374,080
Proper Divisor Sum 7,860,848
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6513229 ← → #6513239

Radix Representation

Decimal 6513232
Binary 11000110110001001010000 (23 bits)
Octal 0o30661120
Hexadecimal 0x636250

Divisor Catalog (40)

1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1,012 1,609 2,024 3,218 4,048 6,436 12,872 17,699 25,744 35,398 37,007 70,796 74,014 141,592 148,028 283,184 296,056 407,077 592,112 814,154 1,628,308 3,256,616 6,513,232

Collatz Trajectory (64 steps to reach 1)

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

6,513,232 3,256,616 1,628,308 814,154 407,077 1,221,232 610,616 305,308 152,654 76,327 228,982 114,491 343,474 171,737 515,212 257,606 128,803 386,410 193,205 579,616 289,808 144,904 72,452 36,226 18,113 54,340 27,170 13,585 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32

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