λ
Integer Codex

1,506,149

17 × 19 × 4663
Deficient Odd Composite

For 1,506,149, the 8 positive divisors have a total of 1,679,040. Removing 1,506,149 leaves 172,891, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 19 × 4663
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,679,040
Proper Divisor Sum 172,891
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1506137 ← → #1506157

Radix Representation

Decimal 1506149
Binary 101101111101101100101 (21 bits)
Octal 0o5575545
Hexadecimal 0x16FB65

Divisor Catalog (8)

1 17 19 323 4,663 79,271 88,597 1,506,149

Collatz Trajectory (181 steps to reach 1)

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

1,506,149 4,518,448 2,259,224 1,129,612 564,806 282,403 847,210 423,605 1,270,816 635,408 317,704 158,852 79,426 39,713 119,140 59,570 29,785 89,356 44,678 22,339 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562

More profiles

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