λ
Integer Codex

1,220,792

23 × 152599
Deficient Even Composite

For 1,220,792, the 8 positive divisors have a total of 2,289,000. Removing 1,220,792 leaves 1,068,208, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 152599
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,289,000
Proper Divisor Sum 1,068,208
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1220783 ← → #1220797

Radix Representation

Decimal 1220792
Binary 100101010000010111000 (21 bits)
Octal 0o4520270
Hexadecimal 0x12A0B8

Divisor Catalog (8)

1 2 4 8 152,599 305,198 610,396 1,220,792

Collatz Trajectory (59 steps to reach 1)

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

1,220,792 610,396 305,198 152,599 457,798 228,899 686,698 343,349 1,030,048 515,024 257,512 128,756 64,378 32,189 96,568 48,284 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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