λ
Prime Ledger

8,744,229

32 × 132 × 5749
Deficient Odd Composite

8,744,229 has the prime decomposition 3^2 × 13^2 × 5749. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13^2 × 5749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 13,679,250
Proper Divisor Sum 4,935,021
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8744227 ← → #8744233

Radix Representation

Decimal 8744229
Binary 100001010110110100100101 (24 bits)
Octal 0o41266445
Hexadecimal 0x856D25

Divisor Catalog (18)

1 3 9 13 39 117 169 507 1,521 5,749 17,247 51,741 74,737 224,211 672,633 971,581 2,914,743 8,744,229

Collatz Trajectory (93 steps to reach 1)

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

8,744,229 26,232,688 13,116,344 6,558,172 3,279,086 1,639,543 4,918,630 2,459,315 7,377,946 3,688,973 11,066,920 5,533,460 2,766,730 1,383,365 4,150,096 2,075,048 1,037,524 518,762 259,381 778,144 389,072 194,536 97,268 48,634 24,317 72,952 36,476 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541

More profiles

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