7,406,529

3 × 13 × 23² × 359

7,406,529 factors as 3 × 13 × 23^2 × 359. Its 24 positive divisors give a proper-divisor sum of 3,741,951, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3 × 13 × 23^2 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,148,480

Proper Divisor Sum 3,741,951

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7406479 ← → #7406537

Radix Representation

Decimal	7406529
Binary	11100010000001111000001 (23 bits)
Octal	0o34201701
Hexadecimal	0x7103C1

Divisor Catalog (24)

1 3 13 23 39 69 299 359 529 897 1,077 1,587 4,667 6,877 8,257 14,001 20,631 24,771 107,341 189,911 322,023 569,733 2,468,843 7,406,529

Collatz Trajectory (191 steps to reach 1)

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

7,406,529 22,219,588 11,109,794 5,554,897 16,664,692 8,332,346 4,166,173 12,498,520 6,249,260 3,124,630 1,562,315 4,686,946 2,343,473 7,030,420 3,515,210 1,757,605 5,272,816 2,636,408 1,318,204 659,102 329,551 988,654 494,327 1,482,982 741,491 2,224,474 1,112,237 3,336,712 1,668,356 834,178 417,089 1,251,268 625,634 312,817 938,452 469,226 234,613 703,840 351,920 175,960 87,980 43,990 21,995 65,986 32,993 98,980 49,490 24,745 74,236 37,118 18,559 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878

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