λ
Harmonic Matrix

3,173,657

3173657
Deficient Odd Prime

3,173,657 has digital root 5. The neighboring primes are 3173641 and 3173659; its proper-divisor sum differs from the starting integer by -3,173,656.

Prime Factor Structure

Factorization String 3173657
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,173,658
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3173641 ← → #3173659

Radix Representation

Decimal 3173657
Binary 1100000110110100011001 (22 bits)
Octal 0o14066431
Hexadecimal 0x306D19

Divisor Catalog (2)

Collatz Trajectory (177 steps to reach 1)

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

3,173,657 9,520,972 4,760,486 2,380,243 7,140,730 3,570,365 10,711,096 5,355,548 2,677,774 1,338,887 4,016,662 2,008,331 6,024,994 3,012,497 9,037,492 4,518,746 2,259,373 6,778,120 3,389,060 1,694,530 847,265 2,541,796 1,270,898 635,449 1,906,348 953,174 476,587 1,429,762 714,881 2,144,644 1,072,322 536,161 1,608,484 804,242 402,121 1,206,364 603,182 301,591 904,774 452,387 1,357,162 678,581 2,035,744 1,017,872 508,936 254,468 127,234 63,617 190,852 95,426 47,713 143,140 71,570 35,785 107,356 53,678 26,839 80,518 40,259 120,778

More profiles

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