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Atlas › Integer Profiles › Node 83,064,447

83,064,447

37 × 19 × 1999
Deficient Odd Composite

83,064,447 factors as 3^7 × 19 × 1999. Its 32 positive divisors give a proper-divisor sum of 48,135,553, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3^7 × 19 × 1999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 131,200,000
Proper Divisor Sum 48,135,553
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #83064427 ← → #83064451

Radix Representation

Decimal 83064447
Binary 100111100110111011001111111 (27 bits)
Octal 0o474673177
Hexadecimal 0x4F3767F

Divisor Catalog (32)

1 3 9 19 27 57 81 171 243 513 729 1,539 1,999 2,187 4,617 5,997 13,851 17,991 37,981 41,553 53,973 113,943 161,919 341,829 485,757 1,025,487 1,457,271 3,076,461 4,371,813 9,229,383 27,688,149 83,064,447

Collatz Trajectory (161 steps to reach 1)

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

83,064,447 249,193,342 124,596,671 373,790,014 186,895,007 560,685,022 280,342,511 841,027,534 420,513,767 1,261,541,302 630,770,651 1,892,311,954 946,155,977 2,838,467,932 1,419,233,966 709,616,983 2,128,850,950 1,064,425,475 3,193,276,426 1,596,638,213 4,789,914,640 2,394,957,320 1,197,478,660 598,739,330 299,369,665 898,108,996 449,054,498 224,527,249 673,581,748 336,790,874 168,395,437 505,186,312 252,593,156 126,296,578 63,148,289 189,444,868 94,722,434 47,361,217 142,083,652 71,041,826 35,520,913 106,562,740 53,281,370 26,640,685 79,922,056 39,961,028 19,980,514 9,990,257 29,970,772 14,985,386 7,492,693 22,478,080 11,239,040 5,619,520 2,809,760 1,404,880 702,440 351,220 175,610 87,805

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