λ
Sigma Notebook

7,473,409

211 × 35419
Deficient Odd Composite

7,473,409 is odd and not a perfect square. Its factorization is 211 × 35419 and its 4 divisors sum to 7,509,040.

Prime Factor Structure

Factorization String 211 × 35419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,509,040
Proper Divisor Sum 35,631
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7473397 ← → #7473451

Radix Representation

Decimal 7473409
Binary 11100100000100100000001 (23 bits)
Octal 0o34404401
Hexadecimal 0x720901

Divisor Catalog (4)

1 211 35,419 7,473,409

Collatz Trajectory (98 steps to reach 1)

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

7,473,409 22,420,228 11,210,114 5,605,057 16,815,172 8,407,586 4,203,793 12,611,380 6,305,690 3,152,845 9,458,536 4,729,268 2,364,634 1,182,317 3,546,952 1,773,476 886,738 443,369 1,330,108 665,054 332,527 997,582 498,791 1,496,374 748,187 2,244,562 1,122,281 3,366,844 1,683,422 841,711 2,525,134 1,262,567 3,787,702 1,893,851 5,681,554 2,840,777 8,522,332 4,261,166 2,130,583 6,391,750 3,195,875 9,587,626 4,793,813 14,381,440 7,190,720 3,595,360 1,797,680 898,840 449,420 224,710 112,355 337,066 168,533 505,600 252,800 126,400 63,200 31,600 15,800 7,900

More profiles

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