λ
Sigma Notebook

1,365,753

3 × 137 × 3323
Deficient Odd Composite

1,365,753 is odd and not a perfect square. Its factorization is 3 × 137 × 3323 and its 8 divisors sum to 1,834,848.

Prime Factor Structure

Factorization String 3 × 137 × 3323
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,834,848
Proper Divisor Sum 469,095
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1365733 ← → #1365761

Radix Representation

Decimal 1365753
Binary 101001101011011111001 (21 bits)
Octal 0o5153371
Hexadecimal 0x14D6F9

Divisor Catalog (8)

1 3 137 411 3,323 9,969 455,251 1,365,753

Collatz Trajectory (93 steps to reach 1)

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

1,365,753 4,097,260 2,048,630 1,024,315 3,072,946 1,536,473 4,609,420 2,304,710 1,152,355 3,457,066 1,728,533 5,185,600 2,592,800 1,296,400 648,200 324,100 162,050 81,025 243,076 121,538 60,769 182,308 91,154 45,577 136,732 68,366 34,183 102,550 51,275 153,826 76,913 230,740 115,370 57,685 173,056 86,528 43,264 21,632 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457

More profiles

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