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Atlas › Integer Profiles › Node 76,929,784

76,929,784

23 × 19 × 61 × 8297
Abundant Even Composite

76,929,784 factors as 2^3 × 19 × 61 × 8297. Its 32 positive divisors give a proper-divisor sum of 77,413,016, so this integer is abundant. The Collatz stopping time is 285 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 61 × 8297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 154,342,800
Proper Divisor Sum 77,413,016
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #76929767 ← → #76929791

Radix Representation

Decimal 76929784
Binary 100100101011101101011111000 (27 bits)
Octal 0o445355370
Hexadecimal 0x495DAF8

Divisor Catalog (32)

1 2 4 8 19 38 61 76 122 152 244 488 1,159 2,318 4,636 8,297 9,272 16,594 33,188 66,376 157,643 315,286 506,117 630,572 1,012,234 1,261,144 2,024,468 4,048,936 9,616,223 19,232,446 38,464,892 76,929,784

Collatz Trajectory (285 steps to reach 1)

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

76,929,784 38,464,892 19,232,446 9,616,223 28,848,670 14,424,335 43,273,006 21,636,503 64,909,510 32,454,755 97,364,266 48,682,133 146,046,400 73,023,200 36,511,600 18,255,800 9,127,900 4,563,950 2,281,975 6,845,926 3,422,963 10,268,890 5,134,445 15,403,336 7,701,668 3,850,834 1,925,417 5,776,252 2,888,126 1,444,063 4,332,190 2,166,095 6,498,286 3,249,143 9,747,430 4,873,715 14,621,146 7,310,573 21,931,720 10,965,860 5,482,930 2,741,465 8,224,396 4,112,198 2,056,099 6,168,298 3,084,149 9,252,448 4,626,224 2,313,112 1,156,556 578,278 289,139 867,418 433,709 1,301,128 650,564 325,282 162,641 487,924

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