7,870,965

3 × 5 × 524731

Starting at 7,870,965, the Collatz iteration reaches 1 after 124 steps. The first transition is 23612896; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 524731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,593,568

Proper Divisor Sum 4,722,603

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7870957 ← → #7871029

Radix Representation

Decimal	7870965
Binary	11110000001100111110101 (23 bits)
Octal	0o36014765
Hexadecimal	0x7819F5

Divisor Catalog (8)

1 3 5 15 524,731 1,574,193 2,623,655 7,870,965

Collatz Trajectory (124 steps to reach 1)

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

7,870,965 23,612,896 11,806,448 5,903,224 2,951,612 1,475,806 737,903 2,213,710 1,106,855 3,320,566 1,660,283 4,980,850 2,490,425 7,471,276 3,735,638 1,867,819 5,603,458 2,801,729 8,405,188 4,202,594 2,101,297 6,303,892 3,151,946 1,575,973 4,727,920 2,363,960 1,181,980 590,990 295,495 886,486 443,243 1,329,730 664,865 1,994,596 997,298 498,649 1,495,948 747,974 373,987 1,121,962 560,981 1,682,944 841,472 420,736 210,368 105,184 52,592 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387

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