7,960,545

3³ × 5 × 58967

Starting at 7,960,545, the Collatz iteration reaches 1 after 186 steps. The first transition is 23881636; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 58967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,152,320

Proper Divisor Sum 6,191,775

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7960543 ← → #7960549

Radix Representation

Decimal	7960545
Binary	11110010111011111100001 (23 bits)
Octal	0o36273741
Hexadecimal	0x7977E1

Divisor Catalog (16)

1 3 5 9 15 27 45 135 58,967 176,901 294,835 530,703 884,505 1,592,109 2,653,515 7,960,545

Collatz Trajectory (186 steps to reach 1)

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

7,960,545 23,881,636 11,940,818 5,970,409 17,911,228 8,955,614 4,477,807 13,433,422 6,716,711 20,150,134 10,075,067 30,225,202 15,112,601 45,337,804 22,668,902 11,334,451 34,003,354 17,001,677 51,005,032 25,502,516 12,751,258 6,375,629 19,126,888 9,563,444 4,781,722 2,390,861 7,172,584 3,586,292 1,793,146 896,573 2,689,720 1,344,860 672,430 336,215 1,008,646 504,323 1,512,970 756,485 2,269,456 1,134,728 567,364 283,682 141,841 425,524 212,762 106,381 319,144 159,572 79,786 39,893 119,680 59,840 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403

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