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Atlas › Integer Profiles › Node 10,448,704

10,448,704

26 × 7 × 83 × 281
Abundant Even Composite

10,448,704 factors as 2^6 × 7 × 83 × 281. Its 56 positive divisors give a proper-divisor sum of 13,618,304, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 83 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 24,067,008
Proper Divisor Sum 13,618,304
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #10448687 ← → #10448707

Radix Representation

Decimal 10448704
Binary 100111110110111101000000 (24 bits)
Octal 0o47667500
Hexadecimal 0x9F6F40

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 281 332 448 562 581 664 1,124 1,162 1,328 1,967 2,248 2,324 2,656 3,934 4,496 4,648 5,312 7,868 8,992 9,296 15,736 17,984 18,592 23,323 31,472 37,184 46,646 62,944 93,292 125,888 163,261 186,584 326,522 373,168 653,044 746,336 1,306,088 1,492,672 2,612,176 5,224,352 10,448,704

Collatz Trajectory (83 steps to reach 1)

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

10,448,704 5,224,352 2,612,176 1,306,088 653,044 326,522 163,261 489,784 244,892 122,446 61,223 183,670 91,835 275,506 137,753 413,260 206,630 103,315 309,946 154,973 464,920 232,460 116,230 58,115 174,346 87,173 261,520 130,760 65,380 32,690 16,345 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308

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