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Atlas › Integer Profiles › Node 1,154,076

1,154,076

22 × 3 × 7 × 11 × 1249
Abundant Even Composite

1,154,076 factors as 2^2 × 3 × 7 × 11 × 1249. Its 48 positive divisors give a proper-divisor sum of 2,205,924, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 1249
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,360,000
Proper Divisor Sum 2,205,924
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1154051 ← → #1154119

Radix Representation

Decimal 1154076
Binary 100011001110000011100 (21 bits)
Octal 0o4316034
Hexadecimal 0x119C1C

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1,249 2,498 3,747 4,996 7,494 8,743 13,739 14,988 17,486 26,229 27,478 34,972 41,217 52,458 54,956 82,434 96,173 104,916 164,868 192,346 288,519 384,692 577,038 1,154,076

Collatz Trajectory (85 steps to reach 1)

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

1,154,076 577,038 288,519 865,558 432,779 1,298,338 649,169 1,947,508 973,754 486,877 1,460,632 730,316 365,158 182,579 547,738 273,869 821,608 410,804 205,402 102,701 308,104 154,052 77,026 38,513 115,540 57,770 28,885 86,656 43,328 21,664 10,832 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205

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