1,400,007

3 × 7 × 163 × 409

For 1,400,007, the 16 positive divisors have a total of 2,151,680. Removing 1,400,007 leaves 751,673, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 163 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,151,680

Proper Divisor Sum 751,673

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1399999 ← → #1400017

Radix Representation

Decimal	1400007
Binary	101010101110011000111 (21 bits)
Octal	0o5256307
Hexadecimal	0x155CC7

Divisor Catalog (16)

1 3 7 21 163 409 489 1,141 1,227 2,863 3,423 8,589 66,667 200,001 466,669 1,400,007

Collatz Trajectory (230 steps to reach 1)

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

1,400,007 4,200,022 2,100,011 6,300,034 3,150,017 9,450,052 4,725,026 2,362,513 7,087,540 3,543,770 1,771,885 5,315,656 2,657,828 1,328,914 664,457 1,993,372 996,686 498,343 1,495,030 747,515 2,242,546 1,121,273 3,363,820 1,681,910 840,955 2,522,866 1,261,433 3,784,300 1,892,150 946,075 2,838,226 1,419,113 4,257,340 2,128,670 1,064,335 3,193,006 1,596,503 4,789,510 2,394,755 7,184,266 3,592,133 10,776,400 5,388,200 2,694,100 1,347,050 673,525 2,020,576 1,010,288 505,144 252,572 126,286 63,143 189,430 94,715 284,146 142,073 426,220 213,110 106,555 319,666

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