λ
Integer Codex

1,390,013

113 × 12301
Deficient Odd Composite

For 1,390,013, the 4 positive divisors have a total of 1,402,428. Removing 1,390,013 leaves 12,415, which gives the deficient classification.

Prime Factor Structure

Factorization String 113 × 12301
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,402,428
Proper Divisor Sum 12,415
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1390003 ← → #1390019

Radix Representation

Decimal 1390013
Binary 101010011010110111101 (21 bits)
Octal 0o5232675
Hexadecimal 0x1535BD

Divisor Catalog (4)

1 113 12,301 1,390,013

Collatz Trajectory (75 steps to reach 1)

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

1,390,013 4,170,040 2,085,020 1,042,510 521,255 1,563,766 781,883 2,345,650 1,172,825 3,518,476 1,759,238 879,619 2,638,858 1,319,429 3,958,288 1,979,144 989,572 494,786 247,393 742,180 371,090 185,545 556,636 278,318 139,159 417,478 208,739 626,218 313,109 939,328 469,664 234,832 117,416 58,708 29,354 14,677 44,032 22,016 11,008 5,504 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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