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Atlas › Integer Profiles › Node 83,383,504

83,383,504

24 × 17 × 41 × 7477
Abundant Even Composite

83,383,504 factors as 2^4 × 17 × 41 × 7477. Its 40 positive divisors give a proper-divisor sum of 91,870,904, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 41 × 7477
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 175,254,408
Proper Divisor Sum 91,870,904
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #83383483 ← → #83383507

Radix Representation

Decimal 83383504
Binary 100111110000101010011010000 (27 bits)
Octal 0o476052320
Hexadecimal 0x4F854D0

Divisor Catalog (40)

1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1,394 2,788 5,576 7,477 11,152 14,954 29,908 59,816 119,632 127,109 254,218 306,557 508,436 613,114 1,016,872 1,226,228 2,033,744 2,452,456 4,904,912 5,211,469 10,422,938 20,845,876 41,691,752 83,383,504

Collatz Trajectory (223 steps to reach 1)

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

83,383,504 41,691,752 20,845,876 10,422,938 5,211,469 15,634,408 7,817,204 3,908,602 1,954,301 5,862,904 2,931,452 1,465,726 732,863 2,198,590 1,099,295 3,297,886 1,648,943 4,946,830 2,473,415 7,420,246 3,710,123 11,130,370 5,565,185 16,695,556 8,347,778 4,173,889 12,521,668 6,260,834 3,130,417 9,391,252 4,695,626 2,347,813 7,043,440 3,521,720 1,760,860 880,430 440,215 1,320,646 660,323 1,980,970 990,485 2,971,456 1,485,728 742,864 371,432 185,716 92,858 46,429 139,288 69,644 34,822 17,411 52,234 26,117 78,352 39,176 19,588 9,794 4,897 14,692

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