3,407,740

2² × 5 × 7 × 101 × 241

3,407,740 has digital root 7. The neighboring primes are 3407693 and 3407743; its proper-divisor sum differs from the starting integer by 1,478,344.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 101 × 241

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,293,824

Proper Divisor Sum 4,886,084

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3407693 ← → #3407743

Radix Representation

Decimal	3407740
Binary	1100111111111101111100 (22 bits)
Octal	0o14777574
Hexadecimal	0x33FF7C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 101 140 202 241 404 482 505 707 964 1,010 1,205 1,414 1,687 2,020 2,410 2,828 3,374 3,535 4,820 6,748 7,070 8,435 14,140 16,870 24,341 33,740 48,682 97,364 121,705 170,387 243,410 340,774 486,820 681,548 851,935 1,703,870 3,407,740

Collatz Trajectory (314 steps to reach 1)

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

3,407,740 1,703,870 851,935 2,555,806 1,277,903 3,833,710 1,916,855 5,750,566 2,875,283 8,625,850 4,312,925 12,938,776 6,469,388 3,234,694 1,617,347 4,852,042 2,426,021 7,278,064 3,639,032 1,819,516 909,758 454,879 1,364,638 682,319 2,046,958 1,023,479 3,070,438 1,535,219 4,605,658 2,302,829 6,908,488 3,454,244 1,727,122 863,561 2,590,684 1,295,342 647,671 1,943,014 971,507 2,914,522 1,457,261 4,371,784 2,185,892 1,092,946 546,473 1,639,420 819,710 409,855 1,229,566 614,783 1,844,350 922,175 2,766,526 1,383,263 4,149,790 2,074,895 6,224,686 3,112,343 9,337,030 4,668,515

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