λ
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Atlas › Integer Profiles › Node 76,894,672

76,894,672

24 × 17 × 19 × 14879
Abundant Even Composite

76,894,672 factors as 2^4 × 17 × 19 × 14879. Its 40 positive divisors give a proper-divisor sum of 89,166,128, so this integer is abundant. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 19 × 14879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 166,060,800
Proper Divisor Sum 89,166,128
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #76894667 ← → #76894673

Radix Representation

Decimal 76894672
Binary 100100101010101000111010000 (27 bits)
Octal 0o445250720
Hexadecimal 0x49551D0

Divisor Catalog (40)

1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1,292 2,584 5,168 14,879 29,758 59,516 119,032 238,064 252,943 282,701 505,886 565,402 1,011,772 1,130,804 2,023,544 2,261,608 4,047,088 4,523,216 4,805,917 9,611,834 19,223,668 38,447,336 76,894,672

Collatz Trajectory (259 steps to reach 1)

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

76,894,672 38,447,336 19,223,668 9,611,834 4,805,917 14,417,752 7,208,876 3,604,438 1,802,219 5,406,658 2,703,329 8,109,988 4,054,994 2,027,497 6,082,492 3,041,246 1,520,623 4,561,870 2,280,935 6,842,806 3,421,403 10,264,210 5,132,105 15,396,316 7,698,158 3,849,079 11,547,238 5,773,619 17,320,858 8,660,429 25,981,288 12,990,644 6,495,322 3,247,661 9,742,984 4,871,492 2,435,746 1,217,873 3,653,620 1,826,810 913,405 2,740,216 1,370,108 685,054 342,527 1,027,582 513,791 1,541,374 770,687 2,312,062 1,156,031 3,468,094 1,734,047 5,202,142 2,601,071 7,803,214 3,901,607 11,704,822 5,852,411 17,557,234

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