λ
Modular Archive

9,742,338

2 × 32 × 41 × 43 × 307
Abundant Even Composite

The decimal integer 9,742,338 is 100101001010100000000010 in binary (24 bits), 45124002 in octal and 94A802 in hexadecimal. Its digit sum is 36.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 43 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,198,176
Proper Divisor Sum 12,455,838
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9742331 ← → #9742349

Radix Representation

Decimal 9742338
Binary 100101001010100000000010 (24 bits)
Octal 0o45124002
Hexadecimal 0x94A802

Divisor Catalog (48)

1 2 3 6 9 18 41 43 82 86 123 129 246 258 307 369 387 614 738 774 921 1,763 1,842 2,763 3,526 5,289 5,526 10,578 12,587 13,201 15,867 25,174 26,402 31,734 37,761 39,603 75,522 79,206 113,283 118,809 226,566 237,618 541,241 1,082,482 1,623,723 3,247,446 4,871,169 9,742,338

Collatz Trajectory (207 steps to reach 1)

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

9,742,338 4,871,169 14,613,508 7,306,754 3,653,377 10,960,132 5,480,066 2,740,033 8,220,100 4,110,050 2,055,025 6,165,076 3,082,538 1,541,269 4,623,808 2,311,904 1,155,952 577,976 288,988 144,494 72,247 216,742 108,371 325,114 162,557 487,672 243,836 121,918 60,959 182,878 91,439 274,318 137,159 411,478 205,739 617,218 308,609 925,828 462,914 231,457 694,372 347,186 173,593 520,780 260,390 130,195 390,586 195,293 585,880 292,940 146,470 73,235 219,706 109,853 329,560 164,780 82,390 41,195 123,586 61,793

More profiles

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