λ
Harmonic Matrix

9,710,177

9710177
Deficient Odd Prime

9,710,177 has digital root 5. The neighboring primes are 9710147 and 9710191; its proper-divisor sum differs from the starting integer by -9,710,176.

Prime Factor Structure

Factorization String 9710177
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,710,178
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9710147 ← → #9710191

Radix Representation

Decimal 9710177
Binary 100101000010101001100001 (24 bits)
Octal 0o45025141
Hexadecimal 0x942A61

Divisor Catalog (2)

1 9,710,177

Collatz Trajectory (238 steps to reach 1)

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

9,710,177 29,130,532 14,565,266 7,282,633 21,847,900 10,923,950 5,461,975 16,385,926 8,192,963 24,578,890 12,289,445 36,868,336 18,434,168 9,217,084 4,608,542 2,304,271 6,912,814 3,456,407 10,369,222 5,184,611 15,553,834 7,776,917 23,330,752 11,665,376 5,832,688 2,916,344 1,458,172 729,086 364,543 1,093,630 546,815 1,640,446 820,223 2,460,670 1,230,335 3,691,006 1,845,503 5,536,510 2,768,255 8,304,766 4,152,383 12,457,150 6,228,575 18,685,726 9,342,863 28,028,590 14,014,295 42,042,886 21,021,443 63,064,330 31,532,165 94,596,496 47,298,248 23,649,124 11,824,562 5,912,281 17,736,844 8,868,422 4,434,211 13,302,634

More profiles

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