λ
Prime Ledger

3,407,763

3 × 1135921
Deficient Odd Composite

3,407,763 has the prime decomposition 3 × 1135921. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 1135921
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,543,688
Proper Divisor Sum 1,135,925
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3407753 ← → #3407771

Radix Representation

Decimal 3407763
Binary 1100111111111110010011 (22 bits)
Octal 0o14777623
Hexadecimal 0x33FF93

Divisor Catalog (4)

1 3 1,135,921 3,407,763

Collatz Trajectory (190 steps to reach 1)

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

3,407,763 10,223,290 5,111,645 15,334,936 7,667,468 3,833,734 1,916,867 5,750,602 2,875,301 8,625,904 4,312,952 2,156,476 1,078,238 539,119 1,617,358 808,679 2,426,038 1,213,019 3,639,058 1,819,529 5,458,588 2,729,294 1,364,647 4,093,942 2,046,971 6,140,914 3,070,457 9,211,372 4,605,686 2,302,843 6,908,530 3,454,265 10,362,796 5,181,398 2,590,699 7,772,098 3,886,049 11,658,148 5,829,074 2,914,537 8,743,612 4,371,806 2,185,903 6,557,710 3,278,855 9,836,566 4,918,283 14,754,850 7,377,425 22,132,276 11,066,138 5,533,069 16,599,208 8,299,604 4,149,802 2,074,901 6,224,704 3,112,352 1,556,176 778,088

More profiles

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