7,360,007

109 × 67523

For 7,360,007, the 4 positive divisors have a total of 7,427,640. Removing 7,360,007 leaves 67,633, which gives the deficient classification.

Prime Factor Structure

Factorization String 109 × 67523

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,427,640

Proper Divisor Sum 67,633

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7359967 ← → #7360013

Radix Representation

Decimal	7360007
Binary	11100000100111000000111 (23 bits)
Octal	0o34047007
Hexadecimal	0x704E07

Divisor Catalog (4)

1 109 67,523 7,360,007

Collatz Trajectory (142 steps to reach 1)

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

7,360,007 22,080,022 11,040,011 33,120,034 16,560,017 49,680,052 24,840,026 12,420,013 37,260,040 18,630,020 9,315,010 4,657,505 13,972,516 6,986,258 3,493,129 10,479,388 5,239,694 2,619,847 7,859,542 3,929,771 11,789,314 5,894,657 17,683,972 8,841,986 4,420,993 13,262,980 6,631,490 3,315,745 9,947,236 4,973,618 2,486,809 7,460,428 3,730,214 1,865,107 5,595,322 2,797,661 8,392,984 4,196,492 2,098,246 1,049,123 3,147,370 1,573,685 4,721,056 2,360,528 1,180,264 590,132 295,066 147,533 442,600 221,300 110,650 55,325 165,976 82,988 41,494 20,747 62,242 31,121 93,364 46,682

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