λ
Prime Ledger

1,772,121

3 × 13 × 45439
Deficient Odd Composite

1,772,121 has the prime decomposition 3 × 13 × 45439. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 45439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,544,640
Proper Divisor Sum 772,519
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1772119 ← → #1772167

Radix Representation

Decimal 1772121
Binary 110110000101001011001 (21 bits)
Octal 0o6605131
Hexadecimal 0x1B0A59

Divisor Catalog (8)

1 3 13 39 45,439 136,317 590,707 1,772,121

Collatz Trajectory (233 steps to reach 1)

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

1,772,121 5,316,364 2,658,182 1,329,091 3,987,274 1,993,637 5,980,912 2,990,456 1,495,228 747,614 373,807 1,121,422 560,711 1,682,134 841,067 2,523,202 1,261,601 3,784,804 1,892,402 946,201 2,838,604 1,419,302 709,651 2,128,954 1,064,477 3,193,432 1,596,716 798,358 399,179 1,197,538 598,769 1,796,308 898,154 449,077 1,347,232 673,616 336,808 168,404 84,202 42,101 126,304 63,152 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874

More profiles

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