λ
Sigma Notebook

7,551,723

3 × 17 × 148073
Deficient Odd Composite

7,551,723 is odd and not a perfect square. Its factorization is 3 × 17 × 148073 and its 8 divisors sum to 10,661,328.

Prime Factor Structure

Factorization String 3 × 17 × 148073
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,661,328
Proper Divisor Sum 3,109,605
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7551707 ← → #7551743

Radix Representation

Decimal 7551723
Binary 11100110011101011101011 (23 bits)
Octal 0o34635353
Hexadecimal 0x733AEB

Divisor Catalog (8)

1 3 17 51 148,073 444,219 2,517,241 7,551,723

Collatz Trajectory (155 steps to reach 1)

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

7,551,723 22,655,170 11,327,585 33,982,756 16,991,378 8,495,689 25,487,068 12,743,534 6,371,767 19,115,302 9,557,651 28,672,954 14,336,477 43,009,432 21,504,716 10,752,358 5,376,179 16,128,538 8,064,269 24,192,808 12,096,404 6,048,202 3,024,101 9,072,304 4,536,152 2,268,076 1,134,038 567,019 1,701,058 850,529 2,551,588 1,275,794 637,897 1,913,692 956,846 478,423 1,435,270 717,635 2,152,906 1,076,453 3,229,360 1,614,680 807,340 403,670 201,835 605,506 302,753 908,260 454,130 227,065 681,196 340,598 170,299 510,898 255,449 766,348 383,174 191,587 574,762 287,381

More profiles

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