1,307,613

3 × 41 × 10631

Starting at 1,307,613, the Collatz iteration reaches 1 after 155 steps. The first transition is 3922840; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 41 × 10631

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,786,176

Proper Divisor Sum 478,563

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1307591 ← → #1307627

Radix Representation

Decimal	1307613
Binary	100111111001111011101 (21 bits)
Octal	0o4771735
Hexadecimal	0x13F3DD

Divisor Catalog (8)

1 3 41 123 10,631 31,893 435,871 1,307,613

Collatz Trajectory (155 steps to reach 1)

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

1,307,613 3,922,840 1,961,420 980,710 490,355 1,471,066 735,533 2,206,600 1,103,300 551,650 275,825 827,476 413,738 206,869 620,608 310,304 155,152 77,576 38,788 19,394 9,697 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302

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