λ
Integer Codex

2,922,475

52 × 292 × 139
Deficient Odd Composite

For 2,922,475, the 18 positive divisors have a total of 3,780,140. Removing 2,922,475 leaves 857,665, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 29^2 × 139
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 3,780,140
Proper Divisor Sum 857,665
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2922461 ← → #2922497

Radix Representation

Decimal 2922475
Binary 1011001001011111101011 (22 bits)
Octal 0o13113753
Hexadecimal 0x2C97EB

Divisor Catalog (18)

1 5 25 29 139 145 695 725 841 3,475 4,031 4,205 20,155 21,025 100,775 116,899 584,495 2,922,475

Collatz Trajectory (156 steps to reach 1)

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

2,922,475 8,767,426 4,383,713 13,151,140 6,575,570 3,287,785 9,863,356 4,931,678 2,465,839 7,397,518 3,698,759 11,096,278 5,548,139 16,644,418 8,322,209 24,966,628 12,483,314 6,241,657 18,724,972 9,362,486 4,681,243 14,043,730 7,021,865 21,065,596 10,532,798 5,266,399 15,799,198 7,899,599 23,698,798 11,849,399 35,548,198 17,774,099 53,322,298 26,661,149 79,983,448 39,991,724 19,995,862 9,997,931 29,993,794 14,996,897 44,990,692 22,495,346 11,247,673 33,743,020 16,871,510 8,435,755 25,307,266 12,653,633 37,960,900 18,980,450 9,490,225 28,470,676 14,235,338 7,117,669 21,353,008 10,676,504 5,338,252 2,669,126 1,334,563 4,003,690

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