λ
Prime Ledger

1,361,975

52 × 157 × 347
Deficient Odd Composite

1,361,975 has the prime decomposition 5^2 × 157 × 347. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 157 × 347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,704,504
Proper Divisor Sum 342,529
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1361963 ← → #1361999

Radix Representation

Decimal 1361975
Binary 101001100100000110111 (21 bits)
Octal 0o5144067
Hexadecimal 0x14C837

Divisor Catalog (12)

1 5 25 157 347 785 1,735 3,925 8,675 54,479 272,395 1,361,975

Collatz Trajectory (168 steps to reach 1)

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

1,361,975 4,085,926 2,042,963 6,128,890 3,064,445 9,193,336 4,596,668 2,298,334 1,149,167 3,447,502 1,723,751 5,171,254 2,585,627 7,756,882 3,878,441 11,635,324 5,817,662 2,908,831 8,726,494 4,363,247 13,089,742 6,544,871 19,634,614 9,817,307 29,451,922 14,725,961 44,177,884 22,088,942 11,044,471 33,133,414 16,566,707 49,700,122 24,850,061 74,550,184 37,275,092 18,637,546 9,318,773 27,956,320 13,978,160 6,989,080 3,494,540 1,747,270 873,635 2,620,906 1,310,453 3,931,360 1,965,680 982,840 491,420 245,710 122,855 368,566 184,283 552,850 276,425 829,276 414,638 207,319 621,958 310,979

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