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6,973,608

23 × 3 × 19 × 41 × 373
Abundant Even Composite

6,973,608 factors as 2^3 × 3 × 19 × 41 × 373. Its 64 positive divisors give a proper-divisor sum of 11,875,992, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 41 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,849,600
Proper Divisor Sum 11,875,992
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6973597 ← → #6973609

Radix Representation

Decimal 6973608
Binary 11010100110100010101000 (23 bits)
Octal 0o32464250
Hexadecimal 0x6A68A8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 373 456 492 746 779 984 1,119 1,492 1,558 2,238 2,337 2,984 3,116 4,476 4,674 6,232 7,087 8,952 9,348 14,174 15,293 18,696 21,261 28,348 30,586 42,522 45,879 56,696 61,172 85,044 91,758 122,344 170,088 183,516 290,567 367,032 581,134 871,701 1,162,268

Collatz Trajectory (160 steps to reach 1)

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

6,973,608 3,486,804 1,743,402 871,701 2,615,104 1,307,552 653,776 326,888 163,444 81,722 40,861 122,584 61,292 30,646 15,323 45,970 22,985 68,956 34,478 17,239 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378

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