λ
Zalai Atlas

3,175,797

3 × 137 × 7727
Deficient Odd Composite

3,175,797 has the prime decomposition 3 × 137 × 7727. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 137 × 7727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,265,856
Proper Divisor Sum 1,090,059
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3175789 ← → #3175801

Radix Representation

Decimal 3175797
Binary 1100000111010101110101 (22 bits)
Octal 0o14072565
Hexadecimal 0x307575

Divisor Catalog (8)

1 3 137 411 7,727 23,181 1,058,599 3,175,797

Collatz Trajectory (146 steps to reach 1)

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

3,175,797 9,527,392 4,763,696 2,381,848 1,190,924 595,462 297,731 893,194 446,597 1,339,792 669,896 334,948 167,474 83,737 251,212 125,606 62,803 188,410 94,205 282,616 141,308 70,654 35,327 105,982 52,991 158,974 79,487 238,462 119,231 357,694 178,847 536,542 268,271 804,814 402,407 1,207,222 603,611 1,810,834 905,417 2,716,252 1,358,126 679,063 2,037,190 1,018,595 3,055,786 1,527,893 4,583,680 2,291,840 1,145,920 572,960 286,480 143,240 71,620 35,810 17,905 53,716 26,858 13,429 40,288 20,144

More profiles

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