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Atlas › Integer Profiles › Node 26,370,784

26,370,784

25 × 11 × 19 × 3943
Abundant Even Composite

26,370,784 factors as 2^5 × 11 × 19 × 3943. Its 48 positive divisors give a proper-divisor sum of 33,262,496, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 19 × 3943
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 59,633,280
Proper Divisor Sum 33,262,496
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #26370779 ← → #26370787

Radix Representation

Decimal 26370784
Binary 1100100100110001011100000 (25 bits)
Octal 0o144461340
Hexadecimal 0x19262E0

Divisor Catalog (48)

1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1,672 3,344 3,943 6,688 7,886 15,772 31,544 43,373 63,088 74,917 86,746 126,176 149,834 173,492 299,668 346,984 599,336 693,968 824,087 1,198,672 1,387,936 1,648,174 2,397,344 3,296,348 6,592,696 13,185,392 26,370,784

Collatz Trajectory (118 steps to reach 1)

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

26,370,784 13,185,392 6,592,696 3,296,348 1,648,174 824,087 2,472,262 1,236,131 3,708,394 1,854,197 5,562,592 2,781,296 1,390,648 695,324 347,662 173,831 521,494 260,747 782,242 391,121 1,173,364 586,682 293,341 880,024 440,012 220,006 110,003 330,010 165,005 495,016 247,508 123,754 61,877 185,632 92,816 46,408 23,204 11,602 5,801 17,404 8,702 4,351 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884

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