λ
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Atlas › Integer Profiles › Node 9,999,438

9,999,438

2 × 3 × 47 × 59 × 601
Abundant Even Composite

9,999,438 factors as 2 × 3 × 47 × 59 × 601. Its 32 positive divisors give a proper-divisor sum of 10,805,682, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 59 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,805,120
Proper Divisor Sum 10,805,682
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #9999433 ← → #9999463

Radix Representation

Decimal 9999438
Binary 100110001001010001001110 (24 bits)
Octal 0o46112116
Hexadecimal 0x98944E

Divisor Catalog (32)

1 2 3 6 47 59 94 118 141 177 282 354 601 1,202 1,803 2,773 3,606 5,546 8,319 16,638 28,247 35,459 56,494 70,918 84,741 106,377 169,482 212,754 1,666,573 3,333,146 4,999,719 9,999,438

Collatz Trajectory (189 steps to reach 1)

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

9,999,438 4,999,719 14,999,158 7,499,579 22,498,738 11,249,369 33,748,108 16,874,054 8,437,027 25,311,082 12,655,541 37,966,624 18,983,312 9,491,656 4,745,828 2,372,914 1,186,457 3,559,372 1,779,686 889,843 2,669,530 1,334,765 4,004,296 2,002,148 1,001,074 500,537 1,501,612 750,806 375,403 1,126,210 563,105 1,689,316 844,658 422,329 1,266,988 633,494 316,747 950,242 475,121 1,425,364 712,682 356,341 1,069,024 534,512 267,256 133,628 66,814 33,407 100,222 50,111 150,334 75,167 225,502 112,751 338,254 169,127 507,382 253,691 761,074 380,537

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