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Atlas › Integer Profiles › Node 9,058,554

9,058,554

2 × 37 × 19 × 109
Abundant Even Composite

9,058,554 factors as 2 × 3^7 × 19 × 109. Its 64 positive divisors give a proper-divisor sum of 12,589,446, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2 × 3^7 × 19 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,648,000
Proper Divisor Sum 12,589,446
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9058549 ← → #9058559

Radix Representation

Decimal 9058554
Binary 100010100011100011111010 (24 bits)
Octal 0o42434372
Hexadecimal 0x8A38FA

Divisor Catalog (60 of 64)

1 2 3 6 9 18 19 27 38 54 57 81 109 114 162 171 218 243 327 342 486 513 654 729 981 1,026 1,458 1,539 1,962 2,071 2,187 2,943 3,078 4,142 4,374 4,617 5,886 6,213 8,829 9,234 12,426 13,851 17,658 18,639 26,487 27,702 37,278 41,553 52,974 55,917 79,461 83,106 111,834 158,922 167,751 238,383 335,502 476,766 503,253 1,006,506

Collatz Trajectory (88 steps to reach 1)

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

9,058,554 4,529,277 13,587,832 6,793,916 3,396,958 1,698,479 5,095,438 2,547,719 7,643,158 3,821,579 11,464,738 5,732,369 17,197,108 8,598,554 4,299,277 12,897,832 6,448,916 3,224,458 1,612,229 4,836,688 2,418,344 1,209,172 604,586 302,293 906,880 453,440 226,720 113,360 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600

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