7,369,726

2 × 7 × 13 × 40493

7,369,726 factors as 2 × 7 × 13 × 40493. Its 16 positive divisors give a proper-divisor sum of 6,236,258, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 40493

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,605,984

Proper Divisor Sum 6,236,258

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7369711 ← → #7369751

Radix Representation

Decimal	7369726
Binary	11100000111001111111110 (23 bits)
Octal	0o34071776
Hexadecimal	0x7073FE

Divisor Catalog (16)

1 2 7 13 14 26 91 182 40,493 80,986 283,451 526,409 566,902 1,052,818 3,684,863 7,369,726

Collatz Trajectory (129 steps to reach 1)

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

7,369,726 3,684,863 11,054,590 5,527,295 16,581,886 8,290,943 24,872,830 12,436,415 37,309,246 18,654,623 55,963,870 27,981,935 83,945,806 41,972,903 125,918,710 62,959,355 188,878,066 94,439,033 283,317,100 141,658,550 70,829,275 212,487,826 106,243,913 318,731,740 159,365,870 79,682,935 239,048,806 119,524,403 358,573,210 179,286,605 537,859,816 268,929,908 134,464,954 67,232,477 201,697,432 100,848,716 50,424,358 25,212,179 75,636,538 37,818,269 113,454,808 56,727,404 28,363,702 14,181,851 42,545,554 21,272,777 63,818,332 31,909,166 15,954,583 47,863,750 23,931,875 71,795,626 35,897,813 107,693,440 53,846,720 26,923,360 13,461,680 6,730,840 3,365,420 1,682,710

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