λ
Integer Codex

7,273,597

7273597
Deficient Odd Prime

For 7,273,597, the 2 positive divisors have a total of 7,273,598. Removing 7,273,597 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7273597
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,273,598
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7273583 ← → #7273601

Radix Representation

Decimal 7273597
Binary 11011101111110001111101 (23 bits)
Octal 0o33576175
Hexadecimal 0x6EFC7D

Divisor Catalog (2)

1 7,273,597

Collatz Trajectory (116 steps to reach 1)

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

7,273,597 21,820,792 10,910,396 5,455,198 2,727,599 8,182,798 4,091,399 12,274,198 6,137,099 18,411,298 9,205,649 27,616,948 13,808,474 6,904,237 20,712,712 10,356,356 5,178,178 2,589,089 7,767,268 3,883,634 1,941,817 5,825,452 2,912,726 1,456,363 4,369,090 2,184,545 6,553,636 3,276,818 1,638,409 4,915,228 2,457,614 1,228,807 3,686,422 1,843,211 5,529,634 2,764,817 8,294,452 4,147,226 2,073,613 6,220,840 3,110,420 1,555,210 777,605 2,332,816 1,166,408 583,204 291,602 145,801 437,404 218,702 109,351 328,054 164,027 492,082 246,041 738,124 369,062 184,531 553,594 276,797

More profiles

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