λ
Integer Codex

4,477,537

4477537
Deficient Odd Prime

For 4,477,537, the 2 positive divisors have a total of 4,477,538. Removing 4,477,537 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4477537
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,477,538
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4477523 ← → #4477541

Radix Representation

Decimal 4477537
Binary 10001000101001001100001 (23 bits)
Octal 0o21051141
Hexadecimal 0x445261

Divisor Catalog (2)

Collatz Trajectory (162 steps to reach 1)

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

4,477,537 13,432,612 6,716,306 3,358,153 10,074,460 5,037,230 2,518,615 7,555,846 3,777,923 11,333,770 5,666,885 17,000,656 8,500,328 4,250,164 2,125,082 1,062,541 3,187,624 1,593,812 796,906 398,453 1,195,360 597,680 298,840 149,420 74,710 37,355 112,066 56,033 168,100 84,050 42,025 126,076 63,038 31,519 94,558 47,279 141,838 70,919 212,758 106,379 319,138 159,569 478,708 239,354 119,677 359,032 179,516 89,758 44,879 134,638 67,319 201,958 100,979 302,938 151,469 454,408 227,204 113,602 56,801 170,404

More profiles

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